Publications (1986 - 2024)

(Conference proceedings papers and conference presentations not listed)

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  • Monographs
    1. M. Han and P. Yu, Normal Forms, Melnikov Functions, and Bifurcations of limit cycles, Springer-Verlag, London, 2012.

    2. X. Liao and P. Yu, Absolute Stability of Nonlinear Control Systems (2nd ed.), Springer-Verlag, 2008.

    3. X. Liao, L. Wang and P. Yu, Stability of Dynamical Systems, Elsvier, Amsterdam, 2007.

  • Refereed Journal Papers
      2024

    1. P. Yu, P. Pooladvand, M.M. Tanaka and L. Wahl, "Extinctions caused by host-range expansion," SIAM J. Appl. Dyn. Sys., (accepted for publication)

    2. Y. Zeng and P. Yu, "Multistable states in a predator–prey model with generalized Holling type III functional response and a strong Allee effect," Commun Nonlinear Sci Numer Simulat., 131, 107846, 2024 (18 pages). PDF file

    3. W. Lou, P. Yu, J.F. Zhang and C. Arancibia-Ibarra, "Local and global dynamics of a ratio-dependent Holling-Tanner predator-prey model with strong Allee effect," Int. J. Bifurcation and Chaos (accept), 2024. PDF file

    4. C. Gao, F. Chen and P. Yu, "Dynamics of a new delayed glucose-insulin model with obesity," Int. J. Bifurcation and Chaos in press, May 2024. PDF file

      2023

    5. S.R. Zhao, P. Yu and H.B. Wang, "Spatiotemporal patterns in a Lengyel-Epstein model near a Turing-Hopf singular point," SIAM J. Appl. Math., 84(1), 2024 (Online March 2024). PDF file

    6. T. Chen, F. Li, P. Yu, "Nilpotent center conditions in cubic switching polynomial Lienard systems by higher-order analysis," J. Differ. Equ. 379(1), 258-289, 2024 (Online Oct. 18, 2023). PDF file

    7. F. Li, T. Chen, Y. Liu and P. Yu, "A complete classification on the center-focus problem of a generalized cubic Kukles system with a nilpotent singular point," Qual. Theory Dyn. Syst., 23(1), 8, 2024 (35 pages) (Online Sept. 22, 2023). PDF file

    8. F. Li, Y. Wu and P. Yu, "Complete classification on center of cubic planar systems symmetric with respect to a straight line," Commun Nonlinear Sci Numer Simulat., 120, 107167, 2023 (13 pages). PDF file

      2022

    9. Y. Zeng and P. Yu, "Complex dynamics of predator-prey systems with the Allee effect," Int. J. Bifurcation and Chaos 32(13), 2250203, 2022 (35 pages). PDF file

    10. Q. Wang, Y. Xiong, W. Huang, P. Yu, "Isolated periodic wave solutions arising from Hopf and Poincare bifurcations in a class of single species model," J. Differ. Equ. 311, 59-80, 2022. PDF file

    11. B. Zeng, P. Yu, "A hierarchical parametric analysis on Hopf bifurcation of an epidemic model," Discrete Contin. Dyn. Syst. Ser. S 16(3&4), 708-724, 2023. (Early access: March 2022). PDF file

      2021

    12. T. Chen, L. Huang, P. Yu, "Center condition and bifurcation of limit cycles for quadratic switching systems with a nilpotent equilibrium point," J. Differ. Equ. 303(5), 326-368, 2021. PDF file

    13. F. Li, Y.Y. Li, P. Yu and J. Wang, "Complex integrability and linearizability of cubic Z2-equivariant systems with two 1:q resonant singular points," J. Differ. Equ. 300(5), 786-813, 2021. PDF file

    14. J. Yang, P. Yu and M. Han, "On the Melnikov functions and limit cycles near a double homoclinic loop with a nilpotent saddle of order m," J. Differ. Equ. 291(5), 27-56, 2021. PDF file

    15. P. Yu, M. Han and X. Zhang, "Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system," J. Differ. Equ., 275(2), 939-959, 2021. PDF file

    16. X. Sun, N. Wang and P. Yu, "The monotonicity of ratios of some Abelian integrals," Bull. Sci. Math., 166, 102934, 2021. PDF file

    17. M. Lu, J. Huang, S. Ruan and P. Yu, "Global dynamics of a susceptible-infectious-recovered epidemic model with a generalized nonmonotone incidence rate," J. Dyn. Differ. Equ., 33, 1625-1661, 2021. PDF file

    18. X. Sun, Z. Chen and P. Yu, "Parameter identification on Abelian integrals to achieve Chebyshev property to achieve Chebyshev property,"Discrete Contin. Dyn. Syst. Ser. B 26(10), 5661-5679, 2021. PDF file

    19. X. Sun, Y. Zeng and P. Yu, "Analysis and simulation of periodic and solitary waves in nonlinear dispersive-dissipative solids," Commun Nonlinear Sci Numer Simulat., 102, 105921, 2021. PDF file

    20. W. Zhang and P. Yu, "Revealing the role of the effector-regulatory T cell loop on autoimmune disease symptoms via nonlinear dynamics," Commun Nonlinear Sci Numer Simulat., 93, 105529, 2021. PDF file

      2020

    21. X. Sun and P. Yu, "Cyclicity of periodic annulus and Hopf cyclicity in perturbing a hyper-elliptic Hamiltonian system with a degenerate heteroclinic loop," J. Differ. Equ. 269(11), 9224-9253, 2020. PDF file

    22. F. Li, Y. Jin, Y. Tian and P. Yu, "Integrability and linearization conditions of cubic Z2 systems with non-resonant singular points," J. Differ. Equ. 269(10), 9026-9049, 2020. PDF file

    23. F. Li, Y.R. Liu, Y.Y. Liu and P. Yu, "Complex isochronous centers and linearization transformations for cubic Z2-equivariant planar systems," J. Differ. Equ., 268(7), 3819-3847, 2020. PDF file

    24. F. Li and P. Yu, "A note on the paper ``Center and isochronous center conditions for switching systems associated with elementary singular points``," Commun Nonlinear Sci Numer Simulat., 90, 105405, 2020. PDF file

    25. Y. Xu, Y. Yang, F. Meng and P. Yu, "Modelling and analysis of recurrent autoimmune disease," Nonlinear Analysis: Real World Appl., 54, 103109, 2020. PDF file

    26. Y. Zeng, X. Sun and P. Yu, "Dynamical analysis on traveling wave of a reaction-diffusion model," Appl. Math. Lett., 109, 106550, 2020. PDF file

    27. L. Guo, P. Yu and Y. Chen, "Identifying weak focus and center in a convection model," Appl. Math. Lett., 100, 106019, 2020. PDF file

    28. B. Zeng, S. Deng and P. Yu, "Bogdanov-Takens bifurcation in predator-prey systems," Discrete Contin. Dyn. Syst. Ser. S, 13(11), 3253-3269, 2020. PDF file

    29. B. Zeng and P. Yu, "Analysis of zero-Hopf bifurcation in two Rossler systems using normal form theory,"Int. J. Bifurcation and Chaos 30(16), 2030050, 2020 (14 pages). PDF file

    30. P. Yu and Y. Zeng, "Visualization of four Limit cycles in quadratic systems," Int. J. Bifurcation and Chaos 30(15), 2050236 2020 (11 pages). PDF file

    31. J. Jiang, W. Zhang and P. Yu, "Tristable phenomenon in a predator-prey system arsing from multiple limit cycles bifurcation," Int. J. Bifurcation and Chaos 30(9), 2050129, 2020 (23 pages). PDF file

    32. P. Yu, M. Han and W. Zhang, "Multiple recurrent outbreak cycles in an autonomous epidemiological model due to multiple limit cycle bifurcation," J. Appl. Anal. Comp. 10(5), 2278-2298, 2020. PDF file

    33. X. Sun and P. Yu, "Zero bifurcation diagrams for Abelian integrals: A study on higher-order hyperelliptic Hamiltonian systems with three perturbation parameter," J. Appl. Anal. Comp. 10(6), 2734-2755, 2020. PDF file

    34. C. Zhang, B. Zheng and P. Yu, "Second-order normal forms for n-dimensional systems with a nilpotent point," J. Appl. Anal. Comp. 10(5), 2233-2262, 2020. PDF file

    35. H. Li, F. Li and P. Yu, "Dynamics and bifurcation study on an extended Lorenz system," J. Nonlinear Modeling and Analysis, 2(1), 57-78, 2020. PDF file

      2019

    36. P. Yu and W. Zhang, "Complex dynamics in a unified SIR and HIV disease model: A bifurcation theory approach," J. Nonlinear Sci., 29(5), 2447-2500, 2019. PDF file

    37. X. Sun and P. Yu, "Exact bound on the number of zeros of Abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4," J. Differ. Equ., 267(12), 7369-7384, 2019. PDF file

    38. L. Guo, P. Yu and Y. Chen, "Bifurcation analysis on a class of Z2-equivariant cubic switching systems showing eighteen limit cycles," J. Differ. Equ., 266(2-3), 1221-1244, 2019. PDF file

    39. J. Yang, P. Yu and M. Han, "Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order m," J. Differ. Equ., 266(1), 455-492, 2019. PDF file

    40. M. Lu, J. Huang, S. Ruan and P. Yu, "Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidende rate," J. Differ. Equ., 267(3), 1859-1898, 2019. PDF file

    41. J. Huang, S. Ruan, P. Yu and Y. Zhang, "Bifurcation Analysis of a Mosquito Population Model with a Saturated Release Rate of Sterile Mosquitoes," SIAM J. Appl. Dyn. Sys., 18(2), 939-972, 2019. PDF file Published in SIAM News Nugget "Modeling Sterile Mosquito Release to Control Disease".

    42. X. Sun and P. Yu, "Periodic traveling waves in a generalized BBM equation with weak backward diffusion and dissipation terms," Discrete Contin. Dyn. Syst. Ser. B, 24(2), 965-987, 2019. PDF file

    43. L. Guo, P. Yu and Y. Chen, "Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles," Appl. Math. Comput., 363, 124577, 2019. PDF file

    44. P. Yu and X. Wang, "Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions," Math. Biosci. Eng., 16(5), 5263-5286, 2019. PDF file

    45. A. Zhou, X. Liu and P. Yu, "Bifurcation analysis on the effect of store-operated and receptor-operated calcium channels for calcium oscillations in astrocyte," Nonlinear Dyn., 97(1), 733-748, 2019. PDF file

    46. X. Wang and P. Yu, "Complex dynamics due to multiple limit cycle bifurcation in a tritrophic food chain model," Int. J. Bifurcation and Chaos, 29(14), 1950193 (12 pages), 2019. PDF file

    47. X. Zhang, Z. Jin and P. Yu, "Bifurcation of multiple limit cycles in an epidemic model on adaptive networks," Int. J. Bifurcation and Chaos, 29(7), 1950096 (10 pages), 2019. PDF file

    48. P. Yu, M. Han and Y. Bai, "Dynamics and bifurcation study on an extended Lorenz system," J. Nonlinear Modeling and Analysis, 1(1), 107-128, 2019. PDF file

      2018

    49. F. Li, Y.R. Liu, Y.Y. Liu and P. Yu, "Bi-center problem and bifurcation of limit cycles from nilpotent singular points in Z2-equivariant cubic vector fields," J. Differ. Equ. 265(10), 4965-4992, 2018. PDF file

    50. Y. Tian and P. Yu, "Bifurcation of small limit cycles in cubic integrable systems using higher-order analysis," J. Differ. Equ. 264(9), 5950-5976, 2018. PDF file

    51. F. Li, P. Yu, Y.R. Liu and Y.Y. Liu, "Center and isochronous center of a class of quasi-analytic switching systems," Sci. China Math., 61(7), 1201-1218, 2018. PDF file

    52. T. Chen, L. Huang, P. Yu and W. Huang, "Bifurcation of limit cycles at infinity in piecewise polynomial systems," Nonlinear Analysis: Real World Appl., 41, 82-106, 2018. PDF file

    53. J. Yang, P. Yu and X. Sun, "On the independent perturbation parameters and the number of limit cycles of a type of polynomial Linard system," J. Math. Anal. Appl. 464(1), 679-692, 2018. PDF file

    54. L. Guo, P. Yu and Y. Chen, "Twelve limit cycles in 3-d quadratic vector fields with Z3 symmetry," Int. J. Bifurcation and Chaos 28(11), 1850139 (14 pages), 2018. PDF file

    55. P. Yu, M. Han and J. Li, "An improvement on the number of limit cycles bifurcating from a non-degenerate center of homogeneous polynomial systems," Int. J. Bifurcation and Chaos 28(6), 1850078, 2018 (31 pages). PDF file

      2017

    56. P. Yu, A. Nadeem and L.M. Wahl, "The impact of prophage on the equilibria and stability of phage and host," J. Nonlinear Sci., 27, 817-846, 2017. PDF file

    57. P. Liu, X. Liu and P. Yu, "Mixed-mode oscillations in a three-store calcium dynamical model," Commun Nonlinear Sci Numer Simulat., 52, 148-164, 2017. PDF file

    58. P. Yu and F. Li, "Bifurcation of limit cycles in a cubic-order planar system around a nilpotent critical point," J. Math. Anal. Appl., 453(2), 645-667, 2017. PDF file

    59. J. Yang and P. Yu, "Nine limit cycles around a nilpotent center in a cubic near-Hamiltonian system," Appl. Math. Comput., 298, 141-152, 2017. PDF file

    60. F. Li, Y. Liu and P. Yu, "Bifurcation of limit cycles at infinity in a class of switching systems," Nonlinear Dyn., 88(1), 403-414, 2017. PDF file

    61. X. Sun, P. Yu and B. Qin, "Global existence and uniqueness of periodic waves in a population model with density-dependent migrations and Allee effect," Int. J. Bifurcation and Chaos, 27(12), 1750192, 2017 (10 pages). PDF file

    62. J. Jiang and P. Yu, "Multistable phenomena involving equilibria and periodic motions in predator-prey systems," Int. J. Bifurcation and Chaos, 27(3), 1750043 (28 pages), 2017. PDF file

      2016

    63. Y. Tian and P. Yu, "Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian system with cubic polynomials," J. Differ. Equ., 260(2), 971-990, 2016. PDF file

    64. W. Zhang, L.M. Wahl and P. Yu, "Backward bifurcations, turning points and rich dynamics in simple disease models," J. Math. Biol., 73(4), 947-976, 2016. PDF file

    65. P. Yu, M. Han and D. Xiao, "Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka-Volterra systems," J. Math. Anal. Appl., 436, 521-555, 2016. PDF file

    66. P. Yu and W. Lin, "Complex dynamics in biological systems arising from multiple limit cycle bifurcation," J. Biol. Dyn., 10(1), 263-285, 2016. PDF file

    67. P. Yu, W. Zhang and L.M. Wahl, "Dynamical analysis and simulation of a 2-dimensional disease model with convex incidence," Commun Nonlinear Sci Numer Simulat, 37, 163-192, 2016. PDF file

    68. C. Murza and P. Yu, "Coupled oscillatory systems with D_4 symmetry and application to van der Pol oscillators," Int. J. Bifurcation and Chaos, 26(8), 1650141 (18 pages), 2016. PDF file

    69. J. Jiang, Y. Song and P. Yu, "Delay-induced triple-zero bifurcation in a delayed Leslie-type predator-prey model with additive Allee effect," Int. J. Bifurcation and Chaos, 26(7), 1650117, (14 pages), 2016. PDF file

    70. W. Zhang and P. Yu, "Hopf and generalized Hopf bifurcations in a recurrent autoimmune disease model," Int. J. Bifurcation and Chaos, 26(5), 1650079, (24 pages), 2016. PDF file

    71. F. Li, P. Yu and Y. Liu, "Analytic integrability of two lopsided systems," Int. J. Bifurcation and Chaos, 26(2), 1650026, (14 pages), 2016. PDF file

      2015

    72. Y. Tian and P. Yu, "Center conditions in a switching Bautin system," J. Differ. Equ., 259(3), 1203-1226, 2015. PDF file

    73. P. Yu and M. Han, "Ten limit cycles around a center-type singular point in a 3-d quadratic system with quadratic perturbation," Appl. Math. Lett., 44(6), 17-20, 2015. PDF file

    74. F. Li, P. Yu, Y. Tian and Y. Liu, "Center and isochronous center conditions for switching systems associated with elementary singular points," Commun. Nonl. Sci. Numer. Simulat., 28(1-3), 81-97, 2015. PDF file

    75. X. Chen, L. Huang and P. Yu, "Dynamic behaviour of a class of HIV compartmental models," Commun. Nonl. Sci. Numer. Simulat., 23(1-3), 115-128, 2015. PDF file

    76. Z. Wei, P. Yu, W. Zhang and M. Yao, "Study of hidden attractors, multiple limit cycles and boundedness of motion in the generalized hyperchaotic Rabinovich system," Nonlinear Dyn., 82(1), 131-141, 2015. PDF file

      2014

    77. W. Zhang, L. Wahl and P. Yu, "Viral blips may not need a trigger: How transient viremia can arise in deterministic in-host models," SIAM Review, 56(1), 127-155, 2014. ("SIGEST" paper, a revised version based on the article: SIAM J. Appl. Math., 73(2), 853-881, 2013.) PDF file

    78. W. Zhang, L. Wahl and P. Yu, "Modelling and anlysis of recurrent autoimmune disease," SIAM J. Appl. Math., 74(6), 1998-2025, 2014. PDF file

    79. Y. Tian, Y. Bai and P. Yu, "Impact of delay on HIV-1 dynamics of fighting a virus with another virus," Math. Biosci. Eng., 11(5), 1181-1198, 2014. PDF file

    80. P. Yu, J. Huang and J. Jiang, "Dynamics of an HIV-1 infection model with cell mediated immunity," Commun. Nonl. Sci. Numer. Simulat., 19(10), 3827-3844, 2014. PDF file

    81. P. Yu and Y. Tian, "Twelve limit cycles around a singular point in a planar cubic-degree polynomial system," Commun. Nonl. Sci. Numer. Simulat., 19(8), 2690-2705, 2014. PDF file

    82. Y. Tian and P. Yu, "An explicit recursive formula for computing the normal forms associated with semisimple cases," Commun. Nonl. Sci. Numer. Simulat., 19(7), 2294-2308, 2014. PDF file

    83. Y. Tian and P. Yu, "Seven limit cycles around a focus point in a simple three-dimensional quadratic vector field," Int. J. Bifurcation and Chaos, 24(6), 1450083 (10 pages), 2014. PDF file

    84. P. Yu, Y. Ding and W. Jiang, "Equivalence of MTS method and CMR method for delay differential equations associated with semisimple singularity," Int. J. Bifurcation and Chaos, 24(1), 1450003 (49 pages), 2014. PDF file

      2013

    85. W. Zhang, L. Wahl and P. Yu, "Conditions for transient viremia in deterministic in-host models: viral blips need no exogenous trigger," SIAM J. Appl. Math., 73(2), 853-881, 2013. PDF file Published in SIAM News Nugget and EurekAlert and Sicence Daily "Surges in Latent Infections: Mathematical Analysis of Viral Blips".

    86. M. Han, Y. Tian and P. Yu, "Small-amplitude limit cycles of polynomial Lienard systems," Sci. China Math., 56(8), 1543-1556, 2013. PDF file

    87. B. Chan and P. Yu, "Bifurcation, stability, and cluster formation of multi-strain infection models,"J. Math. Biol., 67(6-7), 1507-1532, 2013. PDF file

    88. Y. Ding, W. Jiang and P. Yu, "Double Hopf bifurcation in a container crane model with delayed position feedback,"Appl. Math. Comput., 219(17), 9270-9281, 2013. PDF file

    89. P. Yu and M. Han, "Bifurcation of limit cycles in 3rd-order Z2 Hamiltonian planar vector fields with 3rd-order perturbations," Commun. Nonl. Sci. Numer. Simulat., 18(4), 978-988, 2013. PDF file

    90. Y. Ding, W. Jiang and P. Yu, "Bifurcation analysis in a recurrent neural network model with delays," Commun. Nonl. Sci. Numer. Simulat., 18(2), 351-372, 2013. PDF file

    91. C. Chen, R. Corless, M. Maza, P. Yu and Y. Zhang, "A modular regular chains method and its application to dynamical systems," Int. J. Bifurcation and Chaos, 23(9), 1350154 (21 pages), 2013. PDF file

    92. F. Xu, P. Yu and X. Liao, "Synchronization and stabilization of multi-scroll integer and fractional order chaotic attractors generated using trigonometric functions," Int. J. Bifurcation and Chaos, 23(8), 1350145 (33 pages), 2013. PDF file

    93. Y. Tian and P. Yu, "An explicit recursive formula for computing the normal form and center manifold of general n-dimensional differential systems associated with Hopf bifurcation," Int. J. Bifurcation and Chaos, 23(6), 1350104 (18 pages), 2013. PDF file

    94. B. Chan and P. Yu, "Synchrony-breaking Hopf bifurcation in a model of antigenic variation," Int. J. Bifurcation and Chaos, 23(2), 1350021 (15 pages), 2013. PDF file

    95. Y. Ding, W. Jiang and P. Yu, "Double Hopf bifurcation in delayed Van der Pol-Duffing equation," Int. J. Bifurcation and Chaos, 23(1), 1350014 (15 pages), 2013. PDF file

    96. P. Yu and M. Han, "Eight limit cycles around a center in a quadratic Hamiltonian system with third-order perturbation," Int. J. Bifurcation and Chaos, 23(1), 1350005 (18 pages), 2013. PDF file

      2012

    97. M. Gazor and P. Yu, "Spectral sequences and parametric normal forms," J. Differ. Equ., 252, 1003-1031, 2012. PDF file

    98. B. Chan and P. Yu, "Bifurcation analysis in a model of cytotoxic T-lymphocyte response to viralinfection," Nonlinear Analysis: Real World Appl., 13, 64-77, 2012. PDF file

    99. Y. Ding, W. Jiang and P. Yu, "Hopf-zero bifurcation in a generalized Gopalsamy neural network model," Nonlinear Dyn., 70, 1037-1050, 2012. PDF file

    100. P. Yu and M. Han, "Bifurcation of limit cycles in quadratic Hamiltonian systems with various degree polynomial perturbations," Chaos, Solitons and Fractals, 45(6), 772-794, 2012. PDF file

    101. P. Yu and M. Han, "Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials," Int. J. Bifurcation and Chaos, 22(10), 1250254 (28 pages), 2012. PDF file

    102. P. Yu and X. Zou, "Bifurcation analysis on an HIV-1 Model with constant injection of recombinant," Int. J. Bifurcation and Chaos, 22(3), 1250062 (21 pages), 2012. PDF file

      2011

    103. P. Yu and J. Lv, "Bifurcation control for a class of Lorenz-like systems," Int. J. Bifurcation and Chaos, 21(9), 2647-2664, 2011. PDF file

    104. P. Yu and M. Han, "Four limit cycles in quadratic near-integrable system," J. Appl. Anal. Comp., 1(2), 291-298, 2011. PDF file

    105. P. Yu and M. Han, "A study on Zoladek's example," J. Appl. Anal. Comp., 1(1), 143-153, 2011. PDF file

      2010

    106. F. Xu and P. Yu, "Chaos control and chaos synchronization for multi-scroll chaotic attractors generated using hyperbolic functions," J. Math. Anal. Appl, 362(1), 252-274, 2010. PDF file

    107. P. Yu, M. Han and J. Li, "Bifurcation of limit cycles in cubic integrable Z2-equivariant planar vector fields," Qual. Theory Dyn. Syst., 9(1-2), 221-233, 2010. PDF file

    108. M. Gazor and P. Yu, "Formal decomposition method and parametric normal form," Int. J. Bifurcation and Chaos, 20(11), 3487-3415, 2010. PDF file

    109. J. Yang, M. Han, J. Li and P. Yu, "Existence conditions of thirteen limit cycles in a cubic system," Int. J. Bifurcation and Chaos, 20(8), 2569-2577, 2010. PDF file

    110. P. Yu, M. Han and J. Zhang, "Critical periods of 3rd-order planar Hamiltonian systems," Int. J. Bifurcation and Chaos, 20(7), 2213-2224, 2010. PDF file

      2009

    111. X. Jiang, P. Yu, Z. Yuan and X. Zou, "Dynamics of a HIV-1 therapy model of fighting a virus with another virus," J. Biol. Dyn., 3(4), 387-409, 2009. PDF file

    112. P. Yu and R. Corless, "Symbolic computation of limit cycles associated with Hilbert's 16th problem," Commun. Nonl. Sci. Numer. Simulat., 14(12), 4041-4056, 2009. PDF file

    113. P. Yu, X. Liao, S. Xie and Y. Fu, "A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family," Commun. Nonl. Sci. Numer. Simulat., 14(7), 2886-2896, 2009. PDF file

    114. X. Liao, F. Xu, P. Wang and P. Yu, "Chaos control and synchronization for a special generalized Lorenz canonical system - the SM system," Chaos, Solitons & Fractals, 39(5), 2491-2508, 2009. PDF file

    115. M. Han, J. Yang and P. Yu, "Hopf Bifurcations for near-Hamiltonian Systems," Int. J. Bifurcation and Chaos, 19(12), 4117-4130, 2009. PDF file

    116. F. Xu and P. Yu, "Global stabilization and synchronization of n-scroll-chaotic attractors in a modified Chua's circuit with hyperbolic tangent function," Int. J. Bifurcation and Chaos, 19(8), 2563-2572, 2009. PDF file

    117. P. Yu and M. Han, "Critical periods of planar revertible vector field with 3rd-degree polynomial functions," Int. J. Bifurcation and Chaos, 19(1), 419-433, 2009. PDF file

    118. F. Xu, P. Yu and X. Liao, "Global analysis on n-scroll-chaotic attractors of modified Chua's circuit," Int. J. Bifurcation and Chaos, 19(1), 135-157, 2009. PDF file

      2008

    119. Z. Xu, H. Hangan and P. Yu, "Analytical solutions for invisicid Gaussian impinging jets," ASME J. Appl. Mech., 75(2), 021019, 1-12, 2008. PDF file

    120. X. Liao, Y. Fu, S. Xie and P. Yu, "Globally exponentially attractive sets of the family of Lorenz systems," Sci. China F: Information Sci., 51(3), 283-292, 2008. PDF file

    121. Y. Shi and P. Yu, "Chaos induced by regular snap-back repellers," J. Math. Anal. Appl., 337(2), 1480-1494, 2008. PDF file

    122. P. Yu and X. Liao, "On the study of globally exponentially attractive set of a general chaotic system," Commun. Nonl. Sci. Numer. Simulat., 13(8), 1495-1507, 2008. PDF file

    123. P. Yu and G. Chen, "Computation of focus values with applications," Nonlinear Dyn., 51(3), 409-427, 2008. PDF file

    124. Z. Yan and P. Yu, "Hyperchaos synchronization and control on a new hyperchaotic attractor," Chaos, Solitons & Fractals, 35(2), 333-345, 2008. PDF file

    125. M. Gazor and P. Yu, "Infinite order parametric normal form of Hopf singularity," Int. J. Bifurcation and Chaos, 18(11), 3393-3408, 2008. PDF file

    126. Z. Zeng, P. Yu and X. Liao, "A new comparison method for stability theory of differential systems with time-varying delays," Int. J. Bifurcation and Chaos, 18(1), 169-186, 2008. PDF file

    127. H. Chen, Y. Liu and P. Yu, "Center and isochronous center at infinity in a class of planar systems," Dynamics of Continuous, Discrete and Impulsive Syst. B: Appl. & Algorithms, 15(1), 57-74, 2008. PDF file

      2007

    128. X. Liao, Z. Chen, F. Xu and P. Yu, "Robust absolute stability of Lurie interval control systems," Int. J. Robust & Nonlinear Control, 17, 1669-1689, 2007. PDF file

    129. W. Yao and P. Yu, "Bifurcation of small limit cycles in Z5-equivariant planar vector fields of order 5," J. Math. Anal. Appl., 328(1), 400-413, 2007. PDF file

    130. X. Liao, H. Luo, Y. Fu, S. Xie and P. Yu, "Analysis on the global exponential set and positive invariant set of the Lorenz family," Sci. China Information Sci., 37(6), 757-769, 2007. PDF file

    131. P. Yu, Z. Chen, L. Librescu and P. Marzocca, "Implications of time-delayed feedback control on limit cycle oscillation of a 2-dimensional supersonic lifting surfaces," J. Sound & Vib., 304(3-5), 974-986, 2007. PDF file

    132. P. Yu and R. Chen, "The simplest parametrized normal forms of Hopf and generalized Hopf bifurcations," Nonlinear Dyn., 50(1-2), 297-313, 2007. PDF file

    133. P. Yu and A. Leung, "Normal forms of vector fields with perturbation parameters," Chaos, Solitons and Fractals, 34(2), 564-579, 2007. PDF file

    134. P. Yu and A. Leung, "The simplest normal form and its application to bifurcation control," Chaos, Solitons and Fractals, 33(3), 845-863, 2007. PDF file

    135. Z. Yan and P. Yu, "Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems," Chaos, Solitons and Fractals, 33(2), 419-435, 2007. PDF file

    136. P. Yu and M. Han, "On limit cycles of the Lienard equations with Z2 symmetry," Chaos, Solitons and Fractals, 33(1), 617-630, 2007. PDF file

    137. M. Han, D. Shang, Z. Wang and P. Yu, "Bifurcation of limit cycles in a 4th-order near-Hamiltonian systems," Int. J. Bifurcation and Chaos, 17(11), 4117-4144, 2007. PDF file

    138. P. Yu, W. Yao and G. Chen, "Analysis on topological properties of the Lorenz and the Chen attractors using GCM," Int. J. Bifurcation and Chaos, 17(8), 2791-2796, 2007. PDF file

    139. J. Jiang, M. Han, P. Yu and S. Lynch, "Limit cycles in two types of symmetric Lienard systems," Int. J. Bifurcation and Chaos, 17(6), 2169-2174, 2007. PDF file

    140. Z. Yan and P. Yu, "Globally exponential hyperchaos (lag) synchronization in a family of modified hyperchaotic Rossler systems," Int. J. Bifurcation and Chaos, 17(5), 1759-1774, 2007. PDF file

    141. P. Yu, "Local and global bifurcations to limit cycles in a class of Lienard equation," Int. J. Bifurcation and Chaos, 17(1), 183-198, 2007. PDF file

    142. Y. Shi and P. Yu, "On chaos of the logistic maps," Dynamics of Continuous, Discrete and Impulsive Syst. B: Appl. & Algorithms, 14(2), 175-195, 2007. PDF file

      2006

    143. Z. Wu and P. Yu, "A method for stability and bifurcation control," IEEE Trans. on Automatic Control, 51(6), 1019-1023, 2006.

    144. P. Yu, "Computation of limit cycles -- the second part of Hilbert's 16th problem," The Fields Institute Communications, 49, 151-177, 2006.

    145. X. Liao and P. Yu, "Sufficient and necessary conditions for the absolute stability of time-delayed Lurie control systems," J. Math. Anal. Appl., 323(2), 876-890, 2006.

    146. P. Yu, M. Han and Y. Yuan, "Analysis on limit cycles of Zq-equivariant polynomial vector fields with degree 3 or 4," J. Math. Anal. Appl., 322(1), 51-65, 2006.

    147. S. Zhu and P. Yu, "Computation of the normal forms for general M-DOF systems using multiple time scales. Part II: Non-autonomous systems," Commun. Nonl. Sci. Numer. Simulat., 11(1), 45-81, 2006.

    148. M. Gazor, P. Yu and H. Gazor, "Cantor sets in locally compact groups," Scientiae Mathematicae Japonicae, 64(3), 525-532, 2006.

    149. X. Huang, P. Yu and W. Huang, "Open-loop frequency response for a chaotic system," Chinese Physics, 15(12), 2894-2901, 2006.

    150. P. Yu and M. Han, "Limit cycles in generalized Lienard systems," Chaos, Solitons and Fractals, 30(5), 1048-1068, 2006.

    151. S. Wang and P. Yu, "Existence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11," Chaos, Solitons and Fractals, 30(3), 606-621, 2006.

    152. X. Liao and P. Yu, "Chaos control for the family of Rossler systems using feedback controllers," Chaos, Solitons and Fractals, 29(1), 91-107, 2006.

    153. Y. Shi and P. Yu, "Study on chaos induced by turbulent maps in noncompact sets," Chaos, Solitons and Fractals, 28(5), 1165-1180, 2006.

    154. Z. Chen and P. Yu, "Double-Hopf bifurcation in an oscillator with external forcing and time-delayed feedback controls," Int. J. Bifurcation and Chaos, 16(12), 3523-3537, 2006.

    155. P. Yu and F. Xu, "A common phenomenon in chaotic systems linked by time delay," Int. J. Bifurcation and Chaos, 16(12), 3727-3736, 2006.

    156. P. Yu and X. Liao, "New estimations for globally attractive and positive invariant set of the family of the Lorenz systems," Int. J. Bifurcation and Chaos, 16(11), 3383-3390, 2006.

    157. X. Liao, P. Yu, S. Xie and Y. Fu, "Study on the global property of the smooth Chua's system," Int. J. Bifurcation and Chaos, 16(10), 2815-2841, 2006.

    158. Y. Shi, P. Yu and G. Chen, "Chaotification of discrete dynamical systems in Banach spaces," Int. J. Bifurcation and Chaos, 16(9), 2615-2636, 2006.

    159. X. Liao and P. Yu, "Study of globally exponential synchronization for the family of Rossler systems," Int. J. Bifurcation and Chaos, 16(8), 2395-2406, 2006.

    160. S. Wang, P. Yu and J. Li, "Bifurcation of limit cycles in a Z10-equivariant vector fields of degree 9," Int. J. Bifurcation and Chaos, 16(8), 2309-2324, 2006.

    161. P. Yu and X. Liao, "Globally attractive and positive invariant set of the Lorenz system," Int. J. Bifurcation and Chaos, 16(3), 757-764, 2006.

    162. W. Yao, P. Yu, C. Essex and M. Davison, "Competitive modes and their application", Int. J. Bifurcation and Chaos, 16(3), 497-522, 2006.

      2005

    163. P. Yu and Z.Q. Wu, "An exact solution to the stabilization of discrete systems using a first-order controller," IEEE Trans. on Automatic Control, 50(9), 1375-1379, 2005.

    164. S.R. Valluri, P. Yu, G.R. Smith and P. Wiegert, "The Apsidal angle and its derivative in Newton's apsidal precession theorem," Mon. Not. R. Astron. Soc., 358, 1273-1284, 2005.

    165. P. Yu and S. Zhu, "Computation of the normal forms for general M-DOF systems using multiple time scales. Part I: Autonomous systems," Commun. Nonl. Sci. Numer. Simulat., 10(8), 869-905, 2005.

    166. Z. Chen, Z. Wu and P. Yu, "Modelling of the critical phenomena due to the interaction between hysteretic damping and external force," J. Sound Vib., 284(3-5), 783-803, 2005.

    167. S. Wang and P. Yu, "Bifurcation of limit cycles in a quintic Hamiltonian system under sixth-order perturbation," Chaos, Solitons and Fractals, 26(5), 1317-1335, 2005.

    168. Z. Chen and P. Yu, "Controlling and anti-controlling Hopf bifurcations in discrete maps using polynomial functions," Chaos, Solitons and Fractals, 26(4), 1231-1248, 2005.

    169. P. Yu and M. Han, "Small limit cycles from fine focus points in cubic order Z2-equivariant vector fields," Chaos, Solitons and Fractals, 24(1), 329-348, 2005.

    170. X.F. Chen, P. Yu, M. Han and W. Zhang, "Canard solutions of 2-D singularly perturbed systems," Chaos, Solitons and Fractals, 23(3), 915-927, 2005.

    171. P. Yu and M. Han, "Twelve limit cycles in a cubic case of the 16th Hilbert problem," Int. J. Bifurcation and Chaos, 15(7), 2191-2205, 2005.

    172. X. Liao and P. Yu, "Analysis on the global exponent synchronization of Chua's circuit using absolute stability theory," Int. J. Bifurcation and Chaos, 15(12), 3867-3881, 2005.

    173. Z. Chen and P. Yu, "Hopf bifurcation control for an Internet congestion model," Int. J. Bifurcation and Chaos, 15(8), 2643-2651, 2005.

    174. P. Yu, "Closed-form conditions of bifurcation points for general differential equations," Int. J. Bifurcation and Chaos, 15(4), 1467-1483, 2005.

      2004

    175. P. Yu and M. Han, "Twelve limit cycles in a 3rd-order planar system with Z2 symmetry," Commun. Pure Appl. Anal., 3(3), 515-526, 2004.

    176. W.H. Chen, Z.H. Guan and P. Yu, "Delay-dependent stability and H_inifinity control of uncertain discrete-time Markovian jump systems with mode-dependent time delays," Syst. Control Lett., 52(5), 361-371, 2004.

    177. W. Yao, C. Essex, P. Yu and M. Davison, "A measure of predictability," Physics Rev. E., 69, 066121: 1-13, 2004.

    178. Y. Yuan, P. Yu, L. Librescu and P. Marzocca, "Aeroelasticity of time-delayed feedback control of two-dimensional supersonic lifting surfaces," J. Guidance Control Dyn., 27(5), 795-803, 2004.

    179. W. Yao, C. Essex, P. Yu and M. Davison, "Forecast entropy," Kebernetes: Int. J. Systems and Cybernetics, 33(5/6), 1009-1015, 2004.

    180. W. Yao, P. Yu and C. Essex, "Communication between synchronized random number generators," Int. J. Bifurcation and Chaos, 14(11), 3995-4008, 2004.

    181. Z. Wu, P. Yu and K. Wang, "Bifurcation analysis on a self-excited hysteretic system", Int. J. Bifurcation and Chaos, 14(8), 2825-2842, 2004.

    182. J. Xu and P. Yu, "Delay-induced bifurcations in a non-autonomous system with delayed velocity feedbacks," Int. J. Bifurcation and Chaos, 14(8), 2777-2798, 2004.

    183. P. Yu and G. Chen, "Hopf bifurcation control using nonlinear feedback with polynomial functions", Int. J. Bifurcation and Chaos, 14(5), 1683-1704, 2004.

    184. M. Han, Y. Lin and P. Yu, "A study on the existence of limit cycles of a planar system with 3rd-degree polynomials", Int. J. Bifurcation and Chaos, 14(1), 41-60, 2004.

      2003

    185. P. Yu and A.Y.T. Leung, "The simplest normal form of Hopf bifurcation," Nonlinearity, 16(1), 277-300, 2003.

    186. P. Yu and Y. Yuan, "A matching pursuit technique for computing the simplest normal forms of vector fields," J. Symbolic Comput., 35(5), 591-615, 2003.

    187. P. Yu and K. Pan, "Direct perturbation analysis on cables with concentrated loads", Commun. Nonl. Sci. Numer. Simulat., 8(2), 97-112, 2003.

    188. P. Yu and A.Y.T. Leung, "A perturbation method for computing the simplest normal forms of dynamical systems," J. Sound & Vib., 261(1), 123-151, 2003.

    189. P. Yu and Y. Yuan, "An efficient method for computing the simplest normal forms of vector fields," Int. J. Bifurcations and Chaos, 13(1), 19-46, 2003.

    190. K. Pan and P. Yu, "Dynamical analysis on incompressible pre-stressed non-local elastic material", Dynamics of Continuous, Discrete and Impulsive Syst. (DCDIS) A: Math. Anal., 10(1), 127-137, 2003.

    191. P. Yu, "A simple and efficient method for computing center manifold and normal forms associated with semi-simple cases," Dynamics of Continuous, Discrete and Impulsive Syst. (DCDIS) B: Appl. Algorithms., 10(2), 273-286, 2003.

    192. A.B. Gumel, S.M. Moghadas, Y. Yuan and P. Yu, "Bifurcation and stability analysis of a 13-d SEIC model", Dynamics of Continuous, Discrete and Impulsive Syst. (DCDIS) B: Appl. Algorithms., 10(2), 317-330, 2003.

    193. W. Yao, C. Essex and P. Yu, "A new chaotic system for better secure communication", Dynamics of Continuous, Discrete and Impulsive Syst. (DCDIS) B: Appl. Algorithms., 10(2), 221-234, 2003.

    194. Y. Yuan and P. Yu, "The simplest normal form for 1:2 double Hopf singularity", Dynamics of Continuous, Discrete and Impulsive Syst. (DCDIS) B: Appl. Algorithms., 10(1), 123-136, 2003.

    195. S. Zhu and P. Yu, "An algorithm for computing normal forms using perturbation technique", Dynamics of Continuous, Discrete and Impulsive Syst. (DCDIS) B: Appl. Algorithms., 10(2), 181-193, 2003.

      2002

    196. P. Yu, "Computation of the simplest normal forms with perturbation parameters based on Lie transform and rescaling," J. Comput. Appl. Math., 144(1-2), 359-373, 2002.

    197. B. Fraser, P. Yu and T. Lookman, "Steps towards improving the security of chaotic encryption," Physical Rev. E, 66, 017202, 2002.

    198. W. Yao, P. Yu and C. Essex, "Estimation of chaotic parameter regimes via generalized competitive mode approach," Commun. Nonl. Sci. Numer. Simulat., 7(4), 197-205, 2002.

    199. P. Yu, Y. Yuan and J. Xu, "Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback," Commun. Nonl. Sci. Numer. Simulat., 7(1-2), 69-91, 2002.

    200. P. Yu, "Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales," Nonlinear Dyn., 27, 19-53, 2002.

      2001

    201. P. Yu, W. Zhang and Q. Bi, "Vibration analysis on a thin plate with the aid of computation of normal forms," Int. J. Non-Linear Mech., 36(4), 597-627, 2001.

    202. P. Yu and Y. Yuan, "The simplest normal forms associated with a triple zero eigenvalue of indices one and two," Nonlinear Analysis: Theory Methods Appl., 47(2), 1105-1116, 2001.

    203. W. Yao, P. Yu and C. Essex, "Delayed stochastic differential model for quiet standing," Physical Rev. E, 63, 021902, 2001.

    204. W. Zhang, Z. Liu and P. Yu, "Global dynamics of a parametrically and externally excited thin plate," Nonlinear Dyn., 24(3), 245-268, 2001.

    205. P. Yu, "Symbolic computation of normal forms for resonant double Hopf bifurcations using multiple time scales," J. Sound & Vib., 247(4), 615-632, 2001.

    206. P. Yu and A. Gumel, "Bifurcation and stability analysis for a coupled brusselator model," J. Sound & Vib., 244(5), 795-820, 2001.

    207. Y. Yuan and P. Yu, "Computation of simplest normal forms of differential equations associated with a double-zero eigenvalues," Int. J. Bifurcations and Chaos, 11(5), 1307-1330, 2001.

    208. W. Zhang and P. Yu, "Degenerate bifurcation analysis on a parametrically and externally excited mechanical system," Int. J. Bifurcations and Chaos, 11(3), 689-709, 2001.

    209. B. Fraser, P. Yu and T. Lookman, "Secure communications using chaos synchronization," Physics in Canada, 57(2), 155-161, 2001.

    210. A. Gumel, T.D. Loewen, P.N. Shivakumar, B.M. Sahai, P. Yu and M.L. Garba, "Numerical modelling of the perturbation of HIV-1 during combination anti-retroviral therapy," Computers Biol. Medicine, 31(5), 287-301, 2001.

    211. P. Yu and Y. Yuan, "The simplest normal form for the singularity of a pure imaginary pair and a zero eigenvalue," Dynamics of Continuous, Discrete and Impulsive Syst. (DCDIS) B: Appl. Algorithms., 8, 219-249, 2001.

      2000

    212. A. Gumel, E. Twizell and P. Yu, "Numerical and bifurcation analysis for a population model of HIV chemotherapy," Math. Computers Simula., 54(1-3), 169-181, 2000.

    213. W. Zhang and P. Yu, "A Study of the limit cycles associated with a generalized codimension-3 Lienard oscillator," J. Sound & Vib., 231(1), 145-173, 2000.

      1999

    214. Q. Bi and P. Yu, "Symbolic computation of normal forms for semi-simple cases," J. Comput. Appl. Math., 102(2), 195-220, 1999.

    215. Q. Bi and P. Yu, "Double Hopf bifurcations and chaos of a nonlinear vibration system," Nonlinear Dyn., 19(4), 313-332, 1999.

    216. Q. Bi and P. Yu, "Symbolic software development for computing the normal forms of double Hopf bifurcation," J. Math. Computer Modelling, 29(9), 49-70, 1999.

    217. P. Yu, "Simplest normal forms of Hopf and generalized Hopf bifurcations," Int. J. Bifurcation and Chaos, 9(10), 1917-1939, 1999.

      1998

    218. P. Yu and K. Huseyin, "Parametrically excited nonlinear systems: A comparison of certain methods," Int. J. Non-Linear Mech., 33(6), 967-978, 1998.

    219. P. Yu, "Computation of normal forms via a perturbation technique," J. Sound Vib., 211(1), 19-38, 1998.

    220. P. Yu and Q. Bi, "Analysis of non-linear dynamics and bifurcations of a double pendulum," J. Sound Vib., 217(4), 691-736, 1998.

    221. Q. Bi and P. Yu, "Computation of normal forms of differential equations associated with non-semisimple zero eigenvalues," Int. J. Bifurcation and Chaos, 8(12), 2279-2319, 1998.

    222. P. Yu and K. Huseyin, "Bifurcation and stability analysis of nonlinear systems via the intrinsic harmonic balancing technique; Part II: non-autonomous systems," J. Nonlinear Dyn.in Sci.and Technology, 5, 1998.

      1997

    223. P. Yu, "Explicit vibration solutions of a cable under complicated loads," ASME J. Appl. Mech., 64(4), 957-964, 1997.

    224. P. Yu and K. Huseyin, "Bifurcation and stability analysis of nonlinear systems via the intrinsic harmonic balancing technique, Part I: autonomous systems," J. Nonlinear Dyn.in Sci.and Technology, 4(2), 93-108; 4(3), 185-196, 1997.

      1996

    225. P. Yu, Y.M. Desai, N. Popplewell and A.H. Shah, "The Krylov-Bogoliubov and Galerkin methods for nonlinear oscillations," J. Sound & Vib., 192(2), 413-438, 1996.

    226. Y.M. Desai, P. Yu, A.H. Shah and N. Popplewell, "Perturbation based finite element analysis of transmission line galloping," J. Sound & Vib., 191(4), 469-489, 1996.

    227. P. Yu, U. Taneri and K. Huseyin, "Forced oscillations, bifurcations and stability of a molecular system (Part I): non-resonance," Int. J. Sys. Sci., 27(12), 1339-1350, 1996.

    228. P. Yu, U. Taneri and K. Huseyin, "Forced oscillations, bifurcations and stability of a molecular system (Part II): resonances," Int. J. Sys. Sci., 27(12), 1351-1361, 1996.

      1995

    229. P. Yu, P.S. Wong and F. Kaempffer, "Tension of conductor under concentrated loads," ASME J. Appl. Mech., 62(3), 802-809, 1995.

    230. U. Taneri, K. Huseyin and P. Yu, "Analysis of bifurcations and stability properties of molecular systems," Dynam. & Stabil. Syst., 10(2), 149-162, 1995.

    231. Y.M. Desai, P. Yu, N. Popplewell and A.H. Shah, "Finite element modeling of overhead transmission line galloping," Comput. Struct., 57(3), 407-420, 1995.

    232. P. Yu, N. Popplewell and A.H. Shah, "Instability trends of inertially coupled galloping, Part I: initiation," J. Sound & Vib., 183(4), 663-678, 1995.

    233. P. Yu, N. Popplewell and A.H. shah, "Instability trends of inertially coupled galloping, Part II: periodic vibrations," J. Sound & Vib., 183(4), 679-691, 1995.

      1993

    234. P. Yu, Y.M. Desai, A.H. Shah and N. Popplewell, "Three degrees-of-freedom model for galloping, Part I: formulation," ASCE J. Engng. Mech., 119(12), 2404-2425, 1993.

    235. P. Yu, Y.M. Desai, N. Popplewell and A.H. Shah, "Three degrees-of-freedom model for galloping, Part II: solutions," ASCE J. Engng. Mech., 119(12), 2426-2448, 1993.

    236. P. Yu and K. Huseyin, "On phase-locked motions associated with strong resonance," Quarterly Appl. Math., 51(1), 91-100, 1993.

      1992

    237. P. Yu, A.H. Shah and Popplewell, "Inertially coupled galloping of iced conductors," ASME J. Appl. Mech., 59(1), 140-145, 1992.

    238. P. Yu and K. Huseyin, "Sensitivity analysis of certain dynamic bifurcations," Math. & Computer Modelling, 16(10), 45-58, 1992.

      1991

    239. P. Yu, N. Popplewell and A.H. Shah, "A geometrical approach assessing instability trends for galloping," ASME J. Appl. Mech., 58, 784-791, 1991.

      1990

    240. P. Yu and K. Huseyin, "On generic dynamics related to a 3-fold zero eigenvalue," Dynam. Stabil. Syst., 5(2), 113-126, 1990.

    241. P. Yu and K. Huseyin, "Dynamic behavior of an autonomous system with three pairs of pure imaginary eigenvalues," Int. J. Sys. Sci., 21(6), 993-1024, 1990.

      1989

    242. K. Huseyin and P. Yu, "On the dynamics and stability of a codimension-3 autonomous system," Int. J. Engng. Sci., 27(5), 583-604, 1989.

    243. P. Yu and K. Huseyin, "Invariant tori arising at a general critical point of codimension three," Appl. Math. Modelling, 13(9), 506-523, 1989.

      1988

    244. P. Yu and K. Huseyin, "Bifurcations associated with a double zero and a pair of pure imaginary eigenvalues," SIAM J. Appl. Math., 48(2), 229-261, 1988.

    245. P. Yu and K. Huseyin, "A perturbation analysis of interactive static and dynamic bifurcations," IEEE Trans. Automat. Contr., 33(1), 28-41, 1988.

    246. P. Yu and K. Huseyin, "Bifurcations associated with a three-fold zero eigenvalue," Quarterly Appl. Math., 46(2), 193-216, 1988.

    247. K. Huseyin and P. Yu, "On bifurcations into non-resonant quasi-periodic motions," Appl. Math. Modelling, 12(2), 189-201, 1988.

    248. P. Yu and K. Huseyin, "Two- and three-dimensional tori bifurcating from interactions of dynamic modes," Int. J. Sys. Sci., 19(9), 1763-1780, 1988.

    249. P. Yu and K. Huseyin, "Bifurcations associated with a double zero of index two and a pair of pure imaginary eigenvalues," Int. J. Sys. Sci., 19(1), 1-21, 1988.

      1986

    250. P. Yu and K. Huseyin, "Static and dynamic bifurcations associated with a double zero eigenvalue," Dynam. Stabil. Syst., 1(1), 73-86, 1986.
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