Selected Publications
(The names in italic are Yu's students)
Back to Yu's home page
|
- Y. Tian and P. Yu,
``Bifurcation of small limit cycles in cubic integrable
systems using higher-order analysis,''
J. Diff. Eqns. 264(9), 5950-5976, 2018. PDF file
- X. Sun and P. Yu,
``Periodic traveling waves in a generalized BBM
equation with weak backward diffusion and dissipation terms,''
Discrete Continuous Dyn. Syst. Ser. B (accepted for publication).
- 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
- 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
- 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
- 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
- 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. PDF file ("SIGEST" paper based on the article: SIAM J. Appl. Math., 73(2), 853-881, 2013. PDF file)
- 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
- Y. Tian and P. Yu,
``Bifurcation of ten small-amplitude limit cycles by perturbing
a quadratic Hamiltonian system with cubic polynomials,''
J. Diff. Eqns., 260(2), 971-990, 2016. PDF file
- Y. Tian and P. Yu,
``Center conditions in a switching Bautin system,''
J. Diff. Equs., 259(3), 1203-1226, 2015. PDF file
- 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
- 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
- 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
- B. Chan and P. Yu,
``Bifurcation analysis in a model of cytotoxic T-lymphocyte
response to viralinfection,''
Nonlinear Anal.: Real World Appl., 13, 64-77, 2012. PDF file
- 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
- M. Gazor and P. Yu,
``Spectral sequences and parametric normal forms,''
J. Diff. Eqns., 252, 1003-1031, 2012. PDF file
- 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
- 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
- P. Yu,
``Computation of limit cycles -- the second part of Hilbert's 16th problem,''
The Fields Institute Communications, 49, 151-177, 2006. PDF file
- 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. PDF file
- 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. PDF file
- 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. PDF file
- P. Yu,
``Closed-form conditions of bifurcation points for general differential
equations,''
Int. J. Bifurcation and Chaos, 15(4), 1467-1483, 2005. PDF file
- 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. PDF file
- P. Yu and M. Han,
``Twelve limit cycles in a 3rd-order planar system with Z_2 symmetry,''
Commun. Pure Appl. Anal., 3(3), 515-526, 2004. PDF file
- W. Yao, C. Essex, P. Yu and M. Davison,
``A measure of predictability,''
Physics Rev. E., 69, 066121: 1-13, 2004. PDF file
- P. Yu and A.Y.T. Leung,
``The simplest normal form of Hopf bifurcation,''
Nonlinearity, 16(1), 277-300, 2003. PDF file
- 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. PDF file
- B. Fraser, P. Yu and T. Lookman,
``Steps towards improving the security of chaotic encryption,''
Physical Rev. E, 66, 017202, 2002. PDF file
- 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. PDF file
- P. Yu,
``Computation of normal forms via a perturbation technique,''
J. Sound Vib., 211(1), 19-38, 1998. PDF file
- P. Yu,
``Explicit vibration solutions of a cable under complicated loads,''
ASME J. Appl. Mech., 64(4), 957-964, 1997.
PDF file
- 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. PDF file1; ``Three degrees-of-freedom model for galloping, Part II: solutions,'' ASCE J. Engng. Mech., 119(12), 2426-2448, 1993.
PDF file2
- P. Yu and K. Huseyin,
``A perturbation analysis of interactive static and dynamic bifurcations,''
IEEE Trans. Automat. Contr., 33(1), 28-41, 1988. PDF file
- 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. PDF file
Back to Yu's home page
|