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Monographs
Refereed Journal Papers:
2016
2015
2014
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
19962000
19911995
19861990
Refereed Conference Proceedings Papers
Chapters in Books
Monographs
(back to top)
 M. Han and P. Yu
"
Normal Forms, Melnikov Functions, and Bifurcations of Limit Cycles,"
(SpringerVerlag, 2012).
 X. Liao and P. Yu
"
Absolute Stability of Nonlinear Control Systems,"
(SpringerVerlag, 2008).
 X. Liao, L. Wang and P. Yu
"
Stability of Dynamical Systems,"
(Elsvier, 2007).
Refereed Journal Papers
(inverse chronological order)
 P. Yu, W. Zhang and L. Wahl,
"Dynamical analysis and simulation of a 2dimensional disease model with convex incidence,"
Commun. Nonl. Sci. Numer. Simulat.
37, 163192, 2016.
[pdf]
 P. Yu, M. Han and D. Xiao,
"Four small limit cycles around a Hopf singular point
in 3dimensional competitive LotkaVolterra systems,"
J. Math. Anal. Appl, 436(1), 521555, 2016.
[pdf]
 Y. Tian and P. Yu,
"Bifurcation of ten smallamplitude limit cycles by perturbing a quadratic Hamiltonian system with cubic polynomials,"
J. Differential Equations,
260(2), 971990, 2016.
[pdf]
 J. Jiao, Y. Song and P. Yu,
"
Delayinduced triplezero bifurcation in a delayed Leslietype
predatorprey model with additive Allee effect,"
Int. J. Bifurcation and Chaos, (accepted for publication).
 W. Zhang and P. Yu,
"
Hopf and generalized Hopf bifurcations in a recurrent autoimmune disease model,"
Int. J. Bifurcation and Chaos, (scheduled in May issue of 2016).
 F. Li, P. Yu and Y. Liu,
"
Analytic integrability of two lopsided systems,"
Int. J. Bifurcation and Chaos, (scheduled in February issue of 2016).
 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), 131141, 2015.
[pdf]
 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(13), 8197, 2015.
[pdf]
 Y. Tian and P. Yu,
"Center conditions in a switching Bautin system,"
J. Differential Equations,
259(3), 12031226, 2015.
[pdf]
 P. Yu and M. Han,
"
Ten limit cycles around a centertype singular point
in a 3d quadratic system with quadratic perturbation,"
Appl. Math. Lett., 44 (6), 1720, 2015.
[pdf]
 X. Chen, L. Huang and P. Yu,
"Dynamics behaviour of a class of HIV compartmental models,"
Commun. Nonl. Sci. Numer. Simulat.
23(13), 115128, 2015.
[pdf]
 W. Zhang, L. Wahl and P. Yu,
"
Modelling and anlysis of recurrent autoimmune disease,"
SIAM J. Appl. Math., 74(6), 19982025, 2014.
[pdf]
 Y. Tian, Y. Bai and P. Yu,
"
Impact of delay on HIV1 dynamics of fighting a virus with another virus,"
Math. Biosci. Eng., 11(5), 11811198, 2014.
[pdf]
 P. Yu, J. Huang and J. Jiang,
"
Dynamics of an HIV1 infection model with cell mediated immunity,"
Commun. Nonl. Sci. Numer. Simulat.,
19(10), 38273844, 2014 .
[pdf]
 Y. Tian and P. Yu,
"
Seven limit cycles around a focus point in a simple threedimensional quadratic vector field,"
Int. J. Bifurcation and Chaos,
24(6), 1450083, 2014 (10 pages).
[pdf]
 W. Zhang, L. Wahl and P. Yu,
"Viral blips may not need
a trigger: How transient viremia can
arise in deterministic inhost models,"
SIAM Rev., 56(1), 127155, 2014.
[abstrct.pdf],
"Paper"
[paper.pdf]
 P. Yu and Y. Tian,
"
Twelve limit cycles around a singular point in a planar cubicdegree
polynomial system,"
Commun. Nonl. Sci. Numer. Simulat.,
19(8), 26902705, 2014.
[pdf]
 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), 22942308, 2014.
[pdf]
 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, 2014 (49 pages).
[pdf]
 W. Zhang, L. Wahl and P. Yu,
"Conditions for transient viremia in deterministic inhost models: viral blips need
no exogenous trigger,"
SIAM J. Appl. Math., 73(2), 853881, 2013.
[pdf] This paper won A Nugget from SIAM in 2013.
 C. Chen, R. Corless, M. Maza, P. Yu and Y. Zhang,
"An application of regular chain theory to the study of limit cycles,"
Int. J. Bifurcation and Chaos, 23(9), 1350154, 2013 (21 pages).
[pdf]
 F. Xu, P. Yu and X. Liao,
"Synchronization and
stabilization of multiscroll integer and fractional order chaotic attractors
generated using trigonometric functions,"
Int. J. Bifurcation and Chaos, 23(8), 1350145, 2013 (33 pages).
[pdf]
 Y. Tian and P. Yu,
"An explicit recursive formula for computing the normal form and center manifold of general ndimensional differential systems associated with Hopf bifurcation,"
Int. J. Bifurcation and Chaos, 23(6), 1350104, 2013 (18 pages).
[pdf]
 B. Chan and P. Yu,
"Synchronybreaking Hopf bifurcation in a model of antigenic variation,"
Int. J. Bifurcation and Chaos, 23(2), 1350021, 2013 (15 pages).
[pdf]
 Y. Ding, W. Jiang and P. Yu,
"Double Hopf bifurcation in delayed Van der PolDuffing equation,"
Int. J. Bifurcation and Chaos, 23(1), 1350014, 2013 (15 pages).
[pdf]
 P. Yu and M. Han,
"Eight limit cycles around a center in a quadratic Hamiltonian system
with thirdorder perturbation,"
Int. J. Bifurcation and Chaos, 23(1), 1350005, 2013 (18 pages).
[pdf]
 Y. Ding, W. Jiang and P. Yu,
"Double Hopf bifurcation in a container crane model with delayed position feedback,"
Appl. Math. Comput., 219(17), 92709281, 2013.
[pdf]
 M. Han, Y. Tian and P. Yu,
"Smallamplitude limit cycles of
polynomial Lienard systems,"
Sci. China Math. 56(8), 15431556, 2013.
[pdf]
 Y. Ding, W. Jiang and P. Yu,
"Bifurcation analysis in a recurrent neural network model with delays,"
Commun. Nonl. Sci. Numer. Simulat.,
18(2), 351372, 2013.
[pdf]
 P. Yu and M. Han,
"Bifurcation of limit cycles in 3rdorder Z_2 Hamiltonian planar vector fields with 3rdorder perturbations,"
Commun. Nonl. Sci. Numer. Simulat., 18(4), 978988, 2013.
[pdf]
 B. Chan and P. Yu,
"Bifurcation, stability, and cluster formation of multistrain infection
models,"
J. Math. Biol., 67(67), 15071532, 2013.
[pdf]
 Y. Ding, W. Jiang and P. Yu,
"Hopfzero bifurcation in a generalized Gopalsamy neural network model,"
Nonlinear Dyn., 70(2), 10371050, 2012.
[pdf]
 P. Yu and M. Han,
"Bifurcation of limit cycles in quadratic Hamiltonian systems with various degree polynomial perturbations,"
Chaos Solitons Fractals, 45(6), 772794, 2012.
[pdf]
 M. Gazor and P. Yu,
"Spectral sequences and parametric normal forms,"
J. Differential Equations, 252(2), 10031031, 2012.
[pdf]
 B. Chan and P. Yu,
"Bifurcation analysis in a model of cytotoxic Tlymphocyte response to viralinfection,"
Nonlinear Anal. Real World Appl., 13(1), 6477, 2012.
[pdf]
 P. Yu and M. Han,
"Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials,"
Int. J. Bifurcation and Chaos, 22(10), 1250254, 2012 (28 pages).
[pdf]
 P. Yu and X. Zou,
"Bifurcation analysis on an HIV1 Model with constant injection of recombinant,"
Int. J. Bifurcation and Chaos, 22(3), 1250062, 2012 (21 pages).
[pdf]
 P. Yu and J. Lu,
"Bifurcation control for a class of Lorenzlike systems,"
Int. J. Bifurcation and Chaos, 21(9), 26472664, 2011.
[pdf]
 P. Yu and M. Han,
"Four limit cycles in quaratic nearintegrable system,"
J. Appl. Anal. Comput., 1(2), 291298, 2011.
[pdf]
 P. Yu and M. Han,
"A study on Zoladek's example,"
J. Appl. Anal. Comput., 1(1), 143153, 2011.
[pdf]
 P. Yu, M. Han and J. Li,
"Bifurcation of limit cycles in cubic integrable Z_2equivariant
planar vector fields,"
Qual. Theory Dyn. Syst., 9(12), 221233, 2010.
[pdf]
 M. Gazor and P. Yu,
"Formal decomposition method and parametric normal form,"
Int. J. Bifurcation and Chaos, 20(11), 34873415, 2010.
[pdf]
 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), 25692577, 2010.
[pdf]
 P. Yu, M. Han and J. Zhang,
"Critical periods of 3rdorder planar Hamiltonian systems,"
Int. J. Bifurcation and Chaos, 20(7), 22132224, 2010.
[pdf]
 F. Xu and P. Yu,
"Chaos control and chaos synchronization for multiscroll
chaotic attractors generated using hyperbolic functions,"
J. Math. Anal. Appl, 362(1), 252274, 2010.
[pdf]
 X. Jiang, P. Yu, Z. Yuan and X. Zou,
"Dynamics of a HIV1 therapy model of fighting a
virus with another virus,"
J. Biol. Dyn., 3(4), 387409, 2009.
[pdf]
 M. Han, J. Yang and P. Yu,
"Hopf Bifurcations for nearHamiltonian Systems,"
Int. J. Bifurcation and Chaos, 19(12), 41174130, 2009.
[pdf]
 F. Xu and P. Yu,
"Global stabilization and synchronization of nscrollchaotic attractors in a
modified Chua's circuit with hyperbolic tangent function,"
Int. J. Bifurcation and Chaos, 19(8), 25632572, 2009.
[pdf]
 P. Yu and M. Han,
"Critical periods of planar revertible vector field with
3rddegree polynomial functions,"
Int. J. Bifurcation and Chaos, 19(1), 419433, 2009.
[pdf]
 F. Xu, P. Yu and X. Liao,
"Global analysis on nscrollchaotic attractors of modified Chua's circuit,"
Int. J. Bifurcation and Chaos, 19(1), 135157, 2009.
[pdf]
 P. Yu and R. Corless,
"Symbolic computation of limit cycles
associated with Hilbert's 16th problem,"
Commun. Nonl. Sci. Numer. Simulat., 14(12), 40414056, 2009.
[pdf]
 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), 28862896, 2009.
[pdf]
 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), 24912508, 2009.
[pdf]
 X. Liao, Y. Fu, S. Xie and P. Yu,
"Globally exponentially attractive sets of the family of Lorenz systems,"
Sci. China Inf. Sci., 51(3), 283292, 2008.
[pdf]
 Z. Xu, H. Hangan and P. Yu,
"Analytical solutions for a family of Gaussian impinging jets,"
ASME J. Appl. Mech., 75(2), 021019, 112, 2008.
[pdf]
 M. Gazor and P. Yu,
"Infinite order parametric normal form of Hopf singularity,"
Int. J. Bifurcation and Chaos, 18(11), 33933408, 2008.
[pdf]
 Z. Zeng, P. Yu and X. Liao,
"A new comparison method for stability theory of differential systems with
timevarying delays,"
Int. J. Bifurcation and Chaos, 18(1), 169186, 2008.
[pdf]
 P. Yu and G. Chen,
"Computation of focus values with applications,"
Nonlinear Dyn., 51(3), 409427, 2008.
[pdf]
 Z. Yan and P. Yu,
"Hyperchaos synchronization and control on a new hyperchaotic attrator,"
Chaos Solitons Fractals, 35(2), 333345, 2008.
[pdf]
 Y. Shi and P. Yu,
"Chaos induced by regular snapback repellers,"
J. Math. Anal. Appl., 337(2),
14801494, 2008.
[pdf]
 H. Chen, Y. Liu and P. Yu,
"Center and isochronous center at infinity in a class of planar systems,"
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms,
15(1), 5773, 2008.
[pdf]
 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), 14951507, 2008.
[pdf]
 X. Liao, Z. Chen, F. Xu and P. Yu,
"Robust absolute stability of Lurie interval control systems,"
Int. J. Robust Nonlinear Control, 17, 16691689, 2007
[pdf]
 P. Yu, Z. Chen, L. Librescu and P. Marzocca
"Implications of timedelayed feedback control on limit cycle oscillation
of a 2dimensional supersonic lifting surfaces,"
J. Sound Vib., 304(35), 974986, 2007.
[pdf]
 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 Inf. Sci., 37(6), 757769, 2007.
[pdf]
 P. Yu and G. Chen,
"The simplest parametrized normal forms of Hopf and generalized
Hopf bifurcations,"
Nonlinear Dyn., 50(12), 297313, 2007.
[pdf]
 Y. Shi and P. Yu,
"On chaos of the logistic maps,"
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms,
14(2), 175195, 2007.
[pdf]
 M. Han, D. Shang, Z. Wang and P. Yu,
"Bifurcation of limit cycles in a 4thorder nearHamiltonian system,"
Int. J. Bifurcation and Chaos, 17(11), 41174144, 2007.
[pdf]
 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), 27912796, 2007.
[pdf]
 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), 21692174, 2007.
[pdf]
 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), 17591774, 2007.
[pdf]
 P. Yu,
"Local and global bifurcations to limit cycles in a class of Lienard equation,"
Int. J. Bifurcation and Chaos, 17(1), 183198, 2007.
[pdf]
 P. Yu and A. Leung,
"Normal forms of vector fields with perturbation parameters and their application,"
Chaos Solitons Fractals 34(2), 564579, 2007.
[pdf]
 P. Yu and A. Leung,
"The simplest normal form and its application to bifurcation control,"
Chaos Solitons Fractals 33(3), 845863, 2007.
[pdf]
 Z. Yan and P. Yu,
"Linear feedback control, adaptive feedback control and their combination
for chaos (lag) synchronization of LC chaotic systems,"
Chaos Solitons Fractals, 33(2), 419435, 2007.
[pdf]
 P. Yu and M. Han,
"On limit cycles of the Lienard equations with Z_2 symmetry,"
Chaos Solitons Fractals, 31(3), 617630, 2007.
[pdf]
 W. Yao and P. Yu,
"Bifurcation of small limit chycles in Z_5equivariant planar vector
fields of order 5,"
J. Math. Anal. Appl., 328(1), 400413, 2007.
[pdf]
 M. Gazor and P. Yu and H. Gazor,
"Cantor sets in locally compact groups,"
Scientiae Mathematicae Japonicae, 64(3), 525532, 2006.
[pdf]
 X. Huang, P. Yu and W. Huang,
"Openloop frequency response for a chaotic system,"
Chinese Physics, 15(12), 28942901, 2006.
[pdf]
 Z. Wu and P. Yu,
"A method for stability and bifurcation control,"
IEEE Trans. Autom. Control, 51 (9), 10191023, 2006.
[pdf]
 Z. Chen and P. Yu,
"DoubleHopf bifurcation in an oscillator with external forcing and
timedelayed feedback control,"
Int. J. Bifurcation and Chaos, 16(12), 35233537, 2006.
[pdf]
 P. Yu and F. Xu,
"A common phenomenon in chaotic systems linked by time delay,"
Int. J. Bifurcation and Chaos, 16(12), 37273736, 2006.
[pdf]
 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), 33833390, 2006.
[pdf]
 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), 28152841, 2006.
[pdf]
 Y. Shi, P. Yu and G. Chen,
"Chaotification of discrete dynamical systems in Banach spaces,"
Int. J. Bifurcation and Chaos, 16(9), 26152636, 2006.
[pdf]
 X. Liao and P. Yu,
"Study of globally exponential synchronization for the family of Rossler
systems,"
Int. J. Bifurcation and Chaos, 16(8), 23952406, 2006.
[pdf]
 S. Wang, P. Yu and J. Li,
"Bifurcation of limit cycles in a Z_10equivariant vector fields of
degree 9,"
Int. J. Bifurcation and Chaos, 16(8), 23092324, 2006.
[pdf]
 P. Yu and X. Liao,
"Globally attractive and positive invariant set of the Lorenz system,"
Int. J. Bifurcation and Chaos, 16(3), 757764, 2006.
[pdf]
 W. Yao, P. Yu, C. Essex and M. Davison,
"Competitive modes and their application,"
Int. J. Bifurcation and Chaos, 16(3), 497522, 2006.
[pdf]
 S. Zhu and P. Yu,
"Computation of the normal forms for general MDOF systems using multiple
time scales. Part II: Nonautonomous systems,"
Commun. Nonl. Sci. Numer. Simulat., 11(1), 4581, 2006.
[pdf]
 P. Yu and M. Han,
"Limit cycles in generalized Lienard systems,"
Chaos Solitons Fractals, 30(5), 10481068, 2006.
[pdf]
 S. Wang and P. Yu,
"Existence of 121 limit cycles in a perturbed planar polynomial
Hamiltonian vector field of degree 11,"
Chaos Solitons Fractals, 30(3), 606621, 2006.
[pdf]
 X. Liao and P. Yu,
"Chaos control for the family of Rossler systems using feedback
controllers,"
Chaos Solitons Fractals, 29(1), 91107, 2006.
[pdf]
 Y. Shi and P. Yu,
"Study on Chaos induced by turbulent maps in noncompact sets,"
Chaos Solitons Fractals, 28(5), 11651180, 2006.
[pdf]
 P. Yu,
"Computation of limit cycles  the second part of Hilbert's 16th
problem,"
Fields Inst. Commun., 49, 151177, 2006.
[pdf]
 X. Liao and P. Yu,
"Sufficient and necessary conditions
for the absolute stability of timedelayed Lurie control systems,"
J. Math. Anal. Appl., 323(2), 876890, 2006.
[pdf]
 P. Yu, M. Han and Y. Yuan,
"Analysis on limit cycles of Z_qequivariant polynomial vector
fields with degree 3 or 4,"
J. Math. Anal. Appl., 322(1), 5165, 2006.
[pdf]
 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, 12731284, 2005.
[pdf]
 P. Yu and Z. Wu,
"An exact solution to the stabilization of discrete
systems using a firstorder controller,"
IEEE Trans. Autom. Control, 50 (9), 13751379, 2005.
[pdf]
 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), 36873881, 2005.
[pdf]
 Z. Chen and P. Yu,
"Hopf bifurcation control for an internet congestion model,"
Int. J. Bifurcation and Chaos, 15(8), 26432651, 2005.
[pdf]
 P. Yu and M. Han,
"Twelve limit cycles in a cubic case of the 16th Hilbert problem,"
Int. J. Bifurcation and Chaos, 15(7), 21912205, 2005.
[pdf]
 P. Yu,
"Closedform conditions of bifurcation points for general differential
equations,"
Int. J. Bifurcation and Chaos, 15(4), 14671483, 2005.
[pdf]
 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(35), 783803, 2005.
[pdf]
 S. Wang and P. Yu,
"Bifurcation of limit cycles in a quintic Hamiltonian system under
sixthorder perturbation,"
Chaos Solitons Fractals, 26(5), 13171335, 2005.
[pdf]
 Z. Chen and P. Yu,
"Controlling and anticontrolling Hopf bifurcations in discrete maps
using polynomial functions,"
Chaos Solitons Fractals, 26(4), 12311248, 2005.
[pdf]
 P. Yu and M. Han,
"Small limit cycles bifurcating from fine focus points in cubic
order Z_2equivariant vector fields,"
Chaos Solitons Fractals, 24(1), 329348, 2005.
[pdf]
 X.F. Chen, P. Yu, M. Han and W.J. Zhang,
"Canard solutions of twodimentional singularly perturbed systems,"
Chaos Solitons Fractals, 23(3), 915927, 2005.
[pdf]
 P. Yu and S. Zhu,
"Computation of the normal forms for general MDOF systems using multiple
time scales. Part I: Autonomous systems,"
Commun. Nonl. Sci. Numer. Simulat., 10(8), 869905, 2005.
[pdf]
 P. Yu and M. Han,
"Twelve limit cycles in a 3rdorder planar system with Z_2 symmetry,"
Commun. Pure Appl. Anal., 3(3), 515526, 2004.
[pdf]
 W.H. Chen, Z.H. Guan and P. Yu,
"Delaydependent stability and H_infinity control of uncertain discretetime
Markovian jump systems with modedependent time delays,"
Systems & Control Letters, 52(5), 361371, 2004.
[pdf]
 W. Yao, C. Essex, P. Yu and M. Davison,
"Measure of predictability,"
Phys. Rev. E, 69, 066121: 113, 2004.
[pdf]
 Y. Yuan, P. Yu, L. Librescu and P. Marzocca,
"Aeroelasticity of timedelayed feedback control of twodimensional
supersonic lifting surfaces,"
J. Guidance, Control, and Dynamics, 27(5), 795803, 2004.
[pdf]
 W. Yao, P. Yu and C. Essex,
"Communication between synchronized random number generators,"
Int. J. Bifurcation and Chaos, 14(11), 39954008, 2004.
[pdf]
 J. Xu and P. Yu,
"Delayinduced bifurcations in a nonautonomous system with delayed velocity
feedbacks,"
Int. J. Bifurcation and Chaos, 14(8), 27772798, 2004.
[pdf]
 Z. Wu, P. Yu and K. Wang,
"Bifurcation analysis on a selfexcited hysteretic system,"
Int. J. Bifurcation and Chaos, 14(8), 28252842, 2004.
[pdf]
 P. Yu and G. Chen,
"Hopf bifurcation control using nonlinear feedback with polynomial
functions,"
Int. J. Bifurcation and Chaos, 14(5), 16831704, 2004.
[pdf]
 M. Han Y. Lin and P. Yu,
"A study on the existence of limit cycles of a planar system with 3rddegree
polynomials,"
Int. J. Bifurcation and Chaos, 14(1), 4160, 2004.
[pdf]
 W. Yao, C. Essex, P. Yu and M. Davison,
"Forecast entropy,"
Kybernetes: Int. J. Systems and Cybernetics, 33(5/6),
10091015, 2004.
[pdf]
 P. Yu and A.Y.T. Leung,
"The simplest normal form of Hopf bifurcation,"
Nonlinearity, 16(1), 277300, 2003.
[pdf]
 P. Yu and Y. Yuan,
"A matching pursuit technique for computing the simplest normal forms of
vector fields,"
J. Symb. Comput., 35(5), 591615, 2003.
[pdf]
 P. Yu and A.Y.T. Leung,
"A perturbation method for computing the simplest normal forms of dynamical
systems,"
J. Sound Vib., 261(1), 123151, 2003.
[pdf]
 P. Yu and Y. Yuan,
"An efficient method for computing the simplest normal forms of vector
fields,"
Int. J. Bifurcation and Chaos, 13(1), 1946, 2003.
[pdf]
 K. Pan and P. Yu,
"Dynamical analysis on incompressible prestressed nonlocal elastic
material,"
Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal.,
10(1), 127137, 2003.
[pdf]
 P. Yu,
"A simple and efficient method for computing center manifold and normal
forms associated with semisimple cases,"
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms,
10(2), 273286, 2003.
[pdf]
 A.B. Gumel, S.M. Moghadas, Y. Yuan and P. Yu,
"Bifurcation and stability analysis of a 13D SEIC model,"
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms,
10(2), 317330, 2003.
[pdf]
 W. Yao, C. Essex and P. Yu,
"A new chaotic system for better secure communication,"
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms,
10(2), 221234, 2003.
[pdf]
 Y. Yuan and P. Yu,
"The simplest normal form for 1:2 double Hopf singularity,"
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms,
10(1), 123136, 2003.
[pdf]
 S. Zhu and P. Yu,
"An algorithm for computing normal forms using perturbation technique,"
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms,
10(2), 181193, 2003.
[pdf]
 P. Yu and K. Pan,
"Direct perturbation analysis on cables with concentrated loads,"
Commun. Nonl. Sci. Numer. Simulat., 8(2), 97112, 2003.
[pdf]
 P. Yu,
"Analysis on double Hopf bifurcation using computer algebra with the aid of
multiple scales,"
Nonlinear Dyn., 27,
1953, 2002.
[pdf]
 P. Yu,
"Computation of the simplest normal forms
with perturbation parameters based on Lie transform and rescaling,"
J. Comput. Appl. Math., 144(12), 359373, 2002.
[pdf]
 B. Fraser, P. Yu and T. Lookman,
"Steps towards improving the security of chaotic encryption,"
Phys. Rev. E, 66, 017202, 2002.
[pdf]
 W. Yao, P. Yu and C. Essex,
"Estimation of chaotic parameter regimes via generalized competitive
mode approach,"
Commun. Nonl. Sci. Numer. Simulat., 7(4), 197205, 2002.
[pdf]
 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(12), 6991, 2002.
[pdf]
 P. Yu, W. Zhang and Q. Bi,
"Vibration analysis on a thin plate with the aid of computation of normal forms,"
Int. J. NonLinear Mech.,
36, 597627, 2001.
[pdf]
 P. Yu,
"Symbolic computation of normal forms for resonant double Hopf
bifurcations using multiple time scales,"
J. Sound Vib., 247(4), 615632, 2001.
[pdf]
 P. Yu and A. Gumel,
"Bifurcation and stability analysis for a coupled brusselator model,"
J. Sound Vib., 244(5), 795820, 2001.
[pdf]
 P. Yu and Y. Yuan,
"The simplest normal forms associated with a triple zero
eigenvalue of indices one and two,"
Nonlinear Anal., 47(2), 11051116, 2001.
[pdf]
 Y. Yuan and P. Yu,
"Computation of simplest normal forms of differential equations
associated with a doublezero eigenvalues,"
Int. J. Bifurcation and Chaos, 11(5), 13071330, 2001.
[pdf]
 W. Zhang and P. Yu,
"Degenerate bifurcation analysis on a parametrically and externally excited
mechanical system,"
Int. J. Bifurcation and Chaos, 11(3), 689709, 2001.
[pdf]
 W. Zhang, Z. Liu and P. Yu,
"Global dynamics of a parametrically and externally excited thin plate,"
Nonlinear Dyn., 24(3), 245268, 2001.
[pdf]
 W. Yao, P. Yu and C. Essex,
"Delayed stochastic differential model for quiet standing,"
Phys. Rev. E, 63, 021902 (8 pages), 2001.
[pdf]
 B. Fraser, P. Yu and T. Lookman,
"Secure communications using chaos synchronization,"
Physics in Canada, Special Issue on Nonlinear Dynamics,
57(2), 155161, 2001.
[pdf]
 A. Gumel, T.D. Loewen, P.N. Shivakumar, B.M. Sahai, P. Yu and
M.L. Garba,
"Numerical modelling of the perturbation of HIV1 during combination
antiretroviral therapy,"
Comput. Biol. Med., 31(5), 287301, 2001.
[pdf]
 P. Yu and Y. Yuan,
"The simplest normal form for the singularity of a pure imaginary pair
and a zero eigenvalue,"
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms,
8b(2), 219249, 2001.
[pdf]
 A. Gumel, E. Twizell and P. Yu,
"Numerical and bifurcation analysis for a population model of
HIV chemotherapy,"
Math. Comput. Simulat., 54(13), 169181, 2000.
[pdf]
 W. Zhang and P. Yu,
"A Study of the limit cycles associated with a generalized codimension3
Lienard oscillator,"
J. Sound Vib., 231(1), 145173, 2000.
[pdf]
 P. Yu,
"Simplest normal forms of Hopf and generalized Hopf bifurcations,"
Int. J. Bifurcation and Chaos , 9(10), 19171939, 1999.
[pdf]
 Q. Bi and P. Yu,
"Double Hopf bifurcations and chaos of a nonlinear vibration system,"
Nonlinear Dyn., 19, 313332, 1999.
[pdf]
 Q. Bi and P. Yu,
"Symbolic software development for computing the normal forms of
double Hopf bifurcation,"
Math. Comput. Model., 29(9), 4970, 1999.
[pdf]
 Q. Bi and P. Yu,
"Symbolic computation of normal forms for semisimple cases,"
J. Comput. Appl. Math., 102, 195220, 1999.
[pdf]
 P. Yu,
"Computation of normal forms via a perturbation technique,"
J. Sound Vib., 211(1), 1938, 1998.
[pdf]
 P. Yu and K. Huseyin,
"Parametrically excited nonlinear systems: A comparison of certain
methods,"
Int. J. NonLinear Mech., 33(6), 967978, 1998.
[pdf]
 P. Yu and K. Huseyin,
Bifurcation and stability analysis of nonlinear systems via the
intrinsic harmonic balancing technique, Part II: nonautonomous systems,
J. Nonlinear Dyn. Sci. Tech., 5, 1998.
[pdf]
 P. Yu and Q. Bi,
"Analysis of nonlinear dynamics and bifurcations of a double pendulum,"
J. Sound Vib., 217(4), 691736, 1998.
[pdf]
 Q. Bi and P. Yu,
"Computation of normal forms of differential equations associated with
nonsemisimple zero eigenvalues,"
Int. J. Bifurcation and Chaos, 8(12), 22792319, 1998.
[pdf]
 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. Sci. Tech.,
4(2), 93108, 1997; 4(3), 185196, 1997.
[pdf]
 P. Yu,
"Explicit vibration solutions of a cable under complicated loads,"
ASME J. Appl. Mech., 64, 957964, 1997.
[pdf]
 P. Yu, Y.M. Desai, N. Popplewell and A.H. Shah,
"The KrylovBogoliubov and Galerkin methods for nonlinear oscillations,"
J. Sound Vib., 192(2), 413438, 1996.
[pdf]
 P. Yu, U. Taneri and K. Huseyin,
"Forced Oscillations, bifurcations and stability of a molecular
system (Part I): nonresonance,"
Int. J. Sys. Sci., 27(12), 13391350, 1996.
[pdf]
 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), 13511361, 1996.
[pdf]
 Y.M. Desai, P. Yu, A.H. Shah and N. Popplewell,
"Perturbation based finite element analysis of transmission line galloping,"
J. Sound Vib., vol. 191(4), 469489, 1996.
[pdf]
 P. Yu, P.S. Wong and F. Kaempffer,
"Tension of conductor under concentrated loads,"
ASME J. Appl. Mech., 62, 802809, 1995.
[pdf]
 U. Taneri, K. Huseyin and P. Yu,
"Analysis of bifurcations and
stability properties of molecular systems,"
Dynam. Stabil. Syst., 10(2), 149162, 1995.
[pdf]
 Y.M. Desai, P. Yu, N. Popplewell and A.H. Shah,
"Finite element modeling of overhead transmission line galloping,"
J. Comput. Struct., 57(3), 407420, 1995.
[pdf]
 P. Yu, N. Popplewell and A.H. Shah,
"Instability trends of inertially coupled galloping, Part I: initiation,"
J. Sound Vib., 183(4), 663678, 1995.
[pdf]
 P. Yu, N. Popplewell and A.H. Shah,
"Instability trends of inertially coupled galloping,
Part II: periodic vibrations,"
J. Sound Vib., 183(4), 679691, 1995.
[pdf]
 P. Yu, Y.M. Desai, A.H. Shah and N. Popplewell,
"Three degreesoffreedom model for galloping, Part I: formulation,"
ASCE J. Engng. Mech., 119(12), 24042425, 1993.
[pdf]
 P. Yu, Y.M. Desai, N. Popplewell and A.H. Shah,
"Three degreesoffreedom model for galloping, Part II: solutions,"
ASCE J. Engng. Mech., 119(12), 24262448, 1993.
[pdf]
 P. Yu and K. Huseyin,
"On phaselocked motions associated with strong resonance,"
Quart. Appl. Math., 51(1), 91100, 1993.
[pdf]
 P. Yu, A.H. Shah and Popplewell,
"Inertially coupled galloping of iced conductors,"
ASME J. Appl. Mech., 59, 140145, 1992.
[pdf]
 P. Yu and K. Huseyin,
"Sensitivity analysis of certain dynamic bifurcations,"
J. Math. Comput. Model., 16(10), 4558, 1992.
[pdf]
 P. Yu, N. Popplewell and A.H. Shah,
"A geometrical approach assessing instability trends for galloping,"
ASME J. Appl. Mech., 58, 784791, 1991.
[pdf]
 P. Yu and K. Huseyin,
"On generic dynamics related to a 3fold zero eigenvalue,"
Dynam. Stabil. Syst., 5(2), 113126, 1990.
[pdf]
 P. Yu and K. Huseyin,
"Dynamic behavior of an autonomous system with three
pairs of pure imaginary eigenvalues,"
Int. J. Sys. Sci., 21(6), 9931024, 1990.
[pdf]
 K. Huseyin and P. Yu,
"On the dynamics and stability of a codimension3 autonomous system,"
Int. J. Engng. Sci., 27(5), 583604, 1989.
[pdf]
 P. Yu and K. Huseyin,
"Invariant tori arising at a general critical point of codimension three,"
Appl. Math. Model., 13, 506523, 1989.
[pdf]
 P. Yu and K. Huseyin,
"A perturbation analysis of interactive static and dynamic bifurcations,"
IEEE Trans. Autom. Control, 33(1), 2841, 1988.
[pdf]
 P. Yu and K. Huseyin,
"Bifurcations associated with a double zero and a
pair of pure imaginary eigenvalues,"
SIAM J. Appl. Math., 48(2), 229261, 1988.
[pdf]
 P. Yu and K. Huseyin,
"Bifurcations associated with a triplezero eigenvalue
of index two or three,"
ZAMM Z. Angew. Math. Mech., 68(4), T142T145, 1988.
[pdf]
 P. Yu and K. Huseyin,
"Bifurcations associated with a threefold zero eigenvalue,"
Quart. Appl. Math., 46(2), 193216, 1988.
[pdf]
 K. Huseyin and P. Yu,
"On bifurcations into nonresonant quasiperiodic motions,"
Appl. Math. Model., 12, 189201, 1988.
[pdf]
 P. Yu and K. Huseyin,
"2 and 3D tori bifurcating from the interaction of
static and dynamic modes,"
Int. J. Sys. Sci., 19(9), 17631780, 1988.
[pdf]
 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), 121, 1988.
[pdf]
 P. Yu and K. Huseyin,
"Static and dynamic bifurcations associated with a double zero eigenvalue,"
Dynam. Stabil. Syst., 1(1), 7386, 1986.
[pdf]
Refereed Conference Proceedings Papers
(back to top)
 X. Liao, F. Xu and P. Yu,
"Absolute stability of Hopfield neural network,"
Advances in Neural Networks (ISNN 2006) (May 28June 1, 2006, Chengdu,
China), Proc. Part I. Lecture Notes in Computer Science, 3971,
249254, 2006.
[pdf]
 Z. Chen, P. Yu, P. Marzocca and L. Librescu,
"Timedelayed feedback control of a 2D supersonic flapped wings,"
47th AIAA/ASME/ASCE/AHS/ASC Structures,
Structural Dynamics and Materials Conference
(May 14, 2006, Hyatt Regency Newport, Newport, Rhode Island),
DOI: 10.2514/6.20061835
[pdf]
 S. Zhu, P. Yu and S. Jones,
"An efficient computation method for Hopf bifurcation of high
dimensional systems,"
Pooc. of IDECT'05, ASME Int. Mech. Eng. Cong. Exp. (Sept. 2428,
2005, Long Beach, CA), DETC200584835, 689694.
[pdf]
 Z. Chen and P. Yu,
"DoubleHopf bifurcation in an oscillator with external forcing and
timedelayed feedback control,"
Pooc. of IDECT'05, ASME Int. Mech. Eng. Cong. Exp. (Sept. 2428,
2005, Long Beach, CA), DETC200585549, 715723.
[pdf]
 P. Yu and Z. Chen, L. Librescu and P. Marzocca,
"Stability, bifurcation and jumping phenomenon in a 2D model of
supersonic lifting surfaces,"
Pooc. of IDECT'05, ASME Int. Mech. Eng. Cong. Exp. (Sept. 2428,
2005, Long Beach, CA), DETC200585549, 695703.
[pdf]
 X. Liao and P. Yu,
"Chaos control and synchronization for the family of Rossler systems,"
Proc. of DCDIS 4th Int. Conf. on Engineering Applications and
Computational Algorithms (July 2729, 2005, Guelph),
433438.
[pdf]
 Y. Shi and P. Yu,
"Chaos induced by snapback eepellers and its applications to
anticontrol of chaos,"
Proc. of DCDIS 4th Int. Conf. on Engineering Applications and
Computational Algorithms (July 2729, 2005, Guelph),
364369.
[pdf]
 Z. Chen and P. Yu,
"Parametric study on the stability of a 2D supersonic
lifting surface with time delayed linear and nonlinear feedback controls,"
Proc. of DCDIS 4th Int. Conf. on Engineering Applications and
Computational Algorithms (July 2729, 2005, Guelph),
535540.
[pdf]
 P. Yu and F. Xu,
"A study on chaotic systems with time delay,"
Proc. of DCDIS 4th Int. Conf. on Engineering Applications and
Computational Algorithms (July 2729, 2005, Guelph),
754758.
[pdf]
 P. Yu, Z. Chen, L. Librescu and P. Marzocca,
"Implications of time delayed feedback control on LCO of supersonic lifting
surfaces,"
46th AIAA/ASME/ASCE/AHS/ASC Structures,
Structural Dynamics and Materials Conference (April 1821, 2005,
Austin, Texas), AIAA20052375, 69546971.
[pdf]
 Y. Shi, P. Yu and G. Chen,
"Anticontrol of discrete chaos in Banach spaces,"
Proc. of the 5th EUROMECH Nonlinear Dynamics Conference
(August 712, 2005, the Eindhoven University of Technology, The Netherlands)
11911199.
[pdf]
 P. Yu, Y. Yuan, L. Librescu and P. Marzocca,
"Single/double Hopf bifurcation and aeroelastic instability of a 2D
supersonic lifting surface with time delayed feedback control,"
45th AIAA/ASME/ASCE/AHS/ASC Structures,
Structural Dynamics and Materials Conference (April 1922, 2004,
Palm Springs, CA), AIAA20051752, 26342653.
[pdf]
 Z. Chen, Z. Wu and P. Yu,
"Analysis on critical phenomena of a hysteretic system,"
Proc. of 2003 ASME Int. Mech. Eng. Cong. Exp. (Nov. 1521, 2003,
Washington, D.C.), IMECE200355000, 725731.
[pdf]
 Z. Wu and P. Yu,
"Bifurcation control of Rossler system,"
Proc. of 2003 ASME Int. Mech. Eng. Cong. Exp. (Nov. 1521, 2003,
Washington, D.C.), IMECE200355035, 733740.
[pdf]
 P. Yu,
"Computation of the normal form for 1:1 resonant double Hopf bifurcation,"
Proc. of DCDIS 3rd Int. Conf. on Engineering Applications and
Computational Algorithms (May 1518, 2003, Guelph),
121126.
[pdf]
 P. Yu and Y. Yuan,
"The simplest normal form of generalized Hopf bifurcation with
perturbation parameters,"
Proc. of DCDIS 3rd Int. Conf. on Engineering Applications and
Computational Algorithms (May 1518, 2003, Guelph),
127132.
[pdf]
 S. Zhu and P. Yu,
"A comparison of perturbation methods,"
Proc. of DCDIS 3rd Int. Conf. on Engineering Applications and
Computational Algorithms (May 1518, 2003, Guelph),
402407.
[pdf]
 P. Yu,
"A general formula for controlling Hopf bifurcation,"
Proc. of 2002 ASME Int. Mech. Eng. Cong. Exp. (Nov. 1722, 2002,
New Orleans), IMECE200232397, 333340.
[pdf]
 K. Pan and P. Yu,
"Direct perturbation analysis on transmission lines with detuning
pendulums,"
Vibration and Control of Mechanical Systems. (ASME, Nov. 1116, 2001,
New York), DEVol. 111, 255264.
[pdf]
 W. Yao, P. Yu and C. Essex,
"Estimation of chaotic parameter regimes via generalized competitive modes approach,"
Vibration and Control of Mechanical Systems. (ASME, Nov. 1116, 2001,
New York), DEVol. 111, 193198.
[pdf]
 P. Yu and Y. Yuan,
"Analysis on an osicillator with delayed feedback near double Hopf bifurcation,"
Vibration and Control of Mechanical Systems. (ASME, Nov. 1116, 2001,
New York), DEVol. 111, 117128.
[pdf]
 P. Yu,
"A method for computing center manifold and normal forms,"
Int. Conf. on Differential Equations (August 17, 1999,
Berlin), 2, 832837, World Scientific, Singapore, 2000.
[pdf]
 N. Popplewell, A.H. Shah, P. Yu, Y. M. Desai and P. Stumpf,
"Galloping of iced electrical transmission lines,"
Proc. of 7th Int. Workshop on Atmospheric Icing of Structures
(June 37, 1996, Universite du Quebec a Chicoutini, Quebec), 291294.
[pdf]
 P. Yu and Y. Yuan,
"Simplest normal form of a codimensiontwo system,"
Proc. of 17th CANCAM
(May 30June 3, 1999, Hamilton), 367368.
[pdf]
 P. Yu and Z. Zhao,
"Direct perturbation analysis on nonlinear cable vibrations,"
Proc. of 17th CANCAM
(May 30June 3, 1999, Hamilton), 109110.
[pdf]
 S. Zhu and P. Yu,
"Computing normal forms for vibration analysis of nonlinear oscillators
via multiple time scales,"
Proc. of 17th CANCAM
(May 30June 3, 1999, Hamilton), 6970.
[pdf]
 P. Yu and K. Huseyin,
"On the analysis of internal nonresonant double Hopf bifurcation
with symbolic software,"
Proc. of 15th CANCAM
(May 28June 1, 1995, Victoria), 2, 830831.
[pdf]
 P. Yu, N. Popplewell and A.H. Shah,
"Free vibration analysis of sagged cables under distributed and
concentrated loads,"
Proc. of 15th CANCAM
(May 28June 1, 1995, Victoria), 1, 374375.
[pdf]
 P. Yu, Y.M. Desai, P. Stumpf, N. Popplewell and A.H. Shan,
"Galloping of a single electrical transmission line,"
Proc. of 12th Symp. on Engng. Appl. Mech. (EAM)
(1994, Montreal), 712, 1994.
 P. Yu, Y.M. Desai and N. Popplewell,
"Predicting the galloping of an electrical transmission line,"
Proc. of 13th CANCAM
(June 26, 1991, Winnipeg), 2, 522523.
 C.Y. Ip, Y.M. Desai, P. Yu, A.H. Shah and N. Popplewell,
"An oscillator model for the galloping of an electrical transmission line,"
Proc. of 4th Int. Conf. on Recent Advances in Structural Dynamics
(July 1518, 1991, Southeampton, U.K.), 801810, 1991.
 P. Yu and K. Hyseyin,
"Stability and bifurcation analysis on a generic codimension3 system,"
Proc. of 9th Symp. on Engng. Appl. Mech. (EAM), 96103, 1988.
 P. Yu and K. Huseyin,
"A codimension3 bifurcation problem and its application to electrical circuits,"
Proc. of IEEE Int. Symp. on Circuits Syst. (ISCAS),
(June 79, 1988, Helsinki), 1, 255259, 1988.
[pdf]
 P. Yu and K. Huseyin,
"Bifurcations associated with a double zero general critical point,"
Proc. of 11th CANCAM
(May 31June 4, 1987, University of Alberta, Edmonton), 1, A156157.
[pdf]
 K. Huseyin and P. Yu,
"Bifurcations associated with a simple zero and two pairs of pure imaginary
eigevalues,"
Proc. of CMS Annual Seminar: Oscillation, Bifurcation
and Chaos (July 1325, 1986, Toronto),
8, 465484, 1987 (Eds. F.V. Atkinson,
S.F. Langford and A.B.M. Mingarelli).
[pdf]
Chapters in Books
(back to top)
 P. Yu
"
Bifurcation, Limit Cycle and Chaos of Nonlinear Dynamical Systems,"
in Bifurcation and Chaos in Complex Systems
(Eds. J. Sun and A. Luo), Vol. 1, pp. 1125, Elsevier: New York, 2006.
[pdf]
 P. Yu
"
Bifurcation Dynamics in Control Systems,"
in Bifurcation Control: Theory and
Applications (Eds. G. Chen, D.J. Hill and X. Yu), pp. 99126,
SpringerVerlag: New York, 2003.
[pdf]
Back to Publication List

URL: http://pyu1.apmaths.uwo.ca/~pyu
Revised: Feb. 10, 2003