PUBLICATIONS (1986-2014)

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  • Monographs  
  • Refereed Journal Papers:   2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001
                                                    1996-2000  1991-1995  1986-1990
  • Refereed Conference Proceedings Papers
  • Chapters in Books  


  • Monographs    (back to top)
    1. M. Han and P. Yu " Normal Forms, Melnikov Functions, and Bifurcations of Limit Cycles," (Springer-Verlag, 2012).

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

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

  • Refereed Journal Papers   
    1. 2014   (back to top)

    2. X. Chen, L. Huang and P. Yu, " Dynamics behaviour of a class of HIV compartmental models," Communications in Nonlinear Science and Numerical Simulation (in press) (available online November 11, 2014). (DOI 10.1016/j.cnsns.2014.11.001). [pdf]

    3. W. Zhang, L. Wahl and P. Yu, " Modelling and anlysis of recurrent autoimmune disease," SIAM Journal on Applied Mathematics (in press)

    4. Y. Tian, Y. Bai and P. Yu, " Impact of delay on HIV-1 dynamics of fighting a virus with another virus," Mathematical Biosciences and Engineering, 11(5), 1181-1198, 2014. [pdf]

    5. P. Yu, J. Huang and J. Jiang, " Dynamics of an HIV-1 infection model with cell mediated immunity," Communications in Nonlinear Science and Numerical Simulation, 19(10), 3827-3844, 2014 . [pdf]

    6. Y. Tian and P. Yu, " Seven limit cycles around a focus point in a 3-d quadratic system," Int. J. Bifurcation & Chaos, 24(6), 1450083, 2014 (10 pages). [pdf]

    7. 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. [abstrct.pdf], "Paper" [paper.pdf]

    8. P. Yu and Y. Tian, " Twelve limit cycles around a singular point in a planar cubic-degree polynomial system," Communications in Nonlinear Science and Numerical Simulation, 19(8), 2690-2705, 2014. [pdf]

    9. Y. Tian and P. Yu, " An explicit recursive formula for computing the normal forms associated with semisimple cases," Communications in Nonlinear Science and Numerical Simulation, 19(7), 2294-2308, 2014. [pdf]

    10. 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 & Chaos, 24(1), 1450003, 2014 (49 pages). [pdf]

      2013   (back to top)

    11. W. Zhang, L. Wahl and P. Yu, "Conditions for transient viremia in deterministic in-host models: viral blips need no exogenous trigger," SIAM Journal on Applied Mathematics, 73(2), 853-881, 2013. [pdf] This paper won A Nugget from SIAM in 2013.

    12. 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 & Chaos, 23(9), 1350154, 2013 (21 pages). [pdf]

    13. 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 & Chaos, 23(8), 1350145, 2013 (33 pages). [pdf]

    14. 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 & Chaos, 23(6), 1350104, 2013 (18 pages). [pdf]

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

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

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

    18. Y. Ding, W. Jiang and P. Yu, "Double Hopf bifurcation in a container crane model with delayed position feedback," Applied Mathematics and Computation 219(17), 9270-9281, 2013. [pdf]

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

    20. Y. Ding, W. Jiang and P. Yu, "Bifurcation analysis in a recurrent neural network model with delays," Communications in Nonlinear Science and Numerical Simulation, 18(2), 351-372, 2013. [pdf]

    21. P. Yu and M. Han, "Bifurcation of limit cycles in 3rd-order Z_2 Hamiltonian planar vector fields with 3rd-order perturbations," Communications in Nonlinear Science and Numerical Simulation, 18(4), 978-988, 2013. [pdf]

    22. B. Chan and P. Yu, "Bifurcation, stability, and cluster formation of multi-strain infection models," Journal of Mathematical Biology, 67(6-7), 1507-1532, 2013. [pdf]

      2012   (back to top)

    23. Y. Ding, W. Jiang and P. Yu, "Hopf-zero bifurcation in a generalized Gopalsamy neural network model," Nonlinear Dynamics, 70(2), 1037-1050, 2012. [pdf]

    24. 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]

    25. M. Gazor and P. Yu, "Spectral sequences and parametric normal forms," Journal of Differential Equations, 252(2), 1003-1031, 2012. [pdf]

    26. B. Chan and P. Yu, "Bifurcation analysis in a model of cytotoxic T-lymphocyte response to viralinfection," Nonlinear Analysis - B: Real World Applications, 13(1), 64-77, 2012. [pdf]

    27. P. Yu and M. Han, "Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials," Int. J. Bifurcation & Chaos, 22(10), 1250254, 2012 (28 pages). [pdf]

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

      2011   (back to top)

    29. P. Yu and J. Lu, "Bifurcation control for a class of Lorenz-like systems," Int. J. Bifurcation & Chaos, 21(9), 2647-2664, 2011. [pdf]

    30. P. Yu and M. Han, "Four limit cycles in quaratic near-integrable system," Journal of Applied Analysis and Computation, 1(1), 291-298, 2011. [pdf]

    31. P. Yu and M. Han, "A study on Zoladek's example," Journal of Applied Analysis and Computation, 1(1), 143-153, 2011. [pdf]

      2010   (back to top)

    32. P. Yu, M. Han and J. Li, "Bifurcation of limit cycles in cubic integrable Z_2-equivariant planar vector fields," Qualitative Theory of Dynamical Systems, 9(1-2), 221-233, 2010. [pdf]

    33. M. Gazor and P. Yu, "Formal decomposition method and parametric normal form," Int. J. Bifurcation & Chaos, 20(11), 3487-3415, 2010. [pdf]

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

    35. P. Yu, M. Han and J. Zhang, "Critical periods of 3rd-order planar Hamiltonian systems," Int. J. Bifurcation & Chaos, 20(7), 2213-2224, 2010. [pdf]

    36. 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]

      2009   (back to top)

    37. X. Jiang, P. Yu, Z. Yuan and X. Zou, "Dynamics of a HIV-1 therapy model of fighting a virus with another virus," Journal of Biological Dynamics, 3(4), 387-409, 2009. [pdf]

    38. M. Han, J. Yang and P. Yu, "Hopf Bifurcations for near-Hamiltonian Systems," Int. J. Bifurcation & Chaos, 19(12), 4117-4130, 2009. [pdf]

    39. 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 & Chaos, 19(8), 2563-2572, 2009. [pdf]

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

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

    42. P. Yu and R. Corless, "Symbolic computation of limit cycles associated with Hilbert's 16th problem," Communications in Nonlinear Science and Numerical Simulation, 14(12), 4041-4056, 2009. [pdf]

    43. 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," Communications in Nonlinear Science and Numerical Simulation, 14(7), 2886-2896, 2009. [pdf]

    44. 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]

      2008   (back to top)

    45. X. Liao, Y. Fu, S. Xie and P. Yu, "Globally exponentially attractive sets of the family of Lorenz systems," Science in China F: Information Sciences, 51(3), 283-292, 2008. [pdf]

    46. Z. Xu, H. Hangan and P. Yu, "Analytical solutions for a family of Gaussian impinging jets," ASME J. Appl. Mech., 75(2), 021019, 1-12, 2008. [pdf]

    47. M. Gazor and P. Yu, "Infinite order parametric normal form of Hopf singularity," Int. J. Bifurcation & Chaos, 18(11), 3393-3408, 2008. [pdf]

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

    49. P. Yu and G. Chen, "Computation of focus values with applications," Nonlinear Dynamics, 51(3), 409-427, 2008. [pdf]

    50. Z. Yan and P. Yu, "Hyperchaos synchronization and control on a new hyperchaotic attrator," Chaos, Solitons and Fractals, 35(2), 333-345, 2008. [pdf]

    51. Y. Shi and P. Yu, "Chaos induced by regular snap-back repellers," Journal of Mathematical Analysis and Applications, 337(2), 1480-1494, 2008. [pdf]

    52. H. Chen, Y. Liu and P. Yu, "Center and isochronous center at infinity in a class of planar systems," Dynamics of Continous, Discrete and Impulsive Systems Series B: Applications & Algorithms , 15(1), 57-73, 2008. [pdf]

    53. P. Yu and X. Liao, "On the study of globally exponentially attractive set of a general chaotic system," Communications in Nonlinear Science and Numerical Simulation, 13(8), 1495-1507, 2008. [pdf]

      2007   (back to top)

    54. X. Liao, Z. Chen, F. Xu and P. Yu, "Robust absolute stability of Lurie interval control systems," Int. J. Robust and Nonlinear Control, 17, 1669-1689, 2007 [pdf]

    55. 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," Journal of Sound and Vibration, 304(3-5), 974-986, 2007. [pdf]

    56. 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," Science in China E: Information Sciences, 37(6), 757-769, 2007. [pdf]

    57. P. Yu and G. Chen, "The simplest parametrized normal forms of Hopf and generalized Hopf bifurcations," Nonlinear Dynamics, 50(1-2), 297-313, 2007. [pdf]

    58. Y. Shi and P. Yu, "On chaos of the logistic maps," Dynamics of Continous, Discrete and Impulsive Systems Series B: Applications & Algorithms , 14(2), 175-195, 2007. [pdf]

    59. M. Han, D. Shang, Z. Wang and P. Yu, "Bifurcation of limit cycles in a 4th-order near-Hamiltonian system," Int. J. Bifurcation and Chaos, 17(11), 4117-4144, 2007. [pdf]

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

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

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

    63. P. Yu, "Local and global bifurcations to limit cycles in a class of Lienard equation," Int. J. Bifurcation & Chaos, 17(1), 183-198, 2007. [pdf]

    64. P. Yu and A. Leung, "Normal forms of vector fields with perturbation parameters and their application," Chaos, Solitons and Fractals 34(2), 564-579, 2007. [pdf]

    65. 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]

    66. 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), 419-435, 2007. [pdf]

    67. P. Yu and M. Han, "On limit cycles of the Lienard equations with Z_2 symmetry," Chaos, Solitons & Fractals, 31(3), 617-630, 2007. [pdf]

    68. W. Yao and P. Yu, "Bifurcation of small limit chycles in Z_5-equivariant planar vector fields of order 5," Journal of Mathematical Analysis and Applications, 328(1), 400-413, 2007. [pdf]

      2006   (back to top)

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

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

    71. Z. Wu and P. Yu, "A method for stability and bifurcation control," IEEE Trans. on Automatic Control, 51 (9), 1019-1023, 2006. [pdf]

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

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

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

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

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

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

    78. S. Wang, P. Yu and J. Li, "Bifurcation of limit cycles in a Z_10-equivariant vector fields of degree 9," Int. J. Bifurcation & Chaos, 16(8), 2309-2324, 2006. [pdf]

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

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

    81. S. Zhu and P. Yu, "Computation of the normal forms for general M-DOF systems using multiple time scales. Part II: Non-autonomous systems," Communications in Nonlinear Science and Numerical simulation, 11(1), 45-81, 2006. [pdf]

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

    83. 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), 606-621, 2006. [pdf]

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

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

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

    87. X. Liao and P. Yu, "Sufficient and necessary conditions for the absolute stability of time-delayed Lurie control systems," Journal of Mathematical Analysis and Applications, 323(2), 876-890, 2006. [pdf]

    88. P. Yu, M. Han and Y. Yuan, "Analysis on limit cycles of Z_q-equivariant polynomial vector fields with degree 3 or 4," Journal of Mathematical Analysis and Applications, 322(1), 51-65, 2006. [pdf]

      2005   (back to top)

    89. 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. [pdf]

    90. P. Yu and Z. 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. [pdf]

    91. X. Liao and P. Yu, "Analysis on the global exponent synchronization of Chua's circuit using absolute stability theory," Int. J. Bifurcation & Chaos, 15(12), 3687-3881, 2005. [pdf]

    92. Z. Chen and P. Yu, "Hopf bifurcation control for an internet congestion model," Int. J. Bifurcation & Chaos, 15(8), 2643-2651, 2005. [pdf]

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

    94. P. Yu, "Closed-form conditions of bifurcation points for general differential equations," Int. J. Bifurcation & Chaos, 15(4), 1467-1483, 2005. [pdf]

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

    96. 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. [pdf]

    97. 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. [pdf]

    98. P. Yu and M. Han, "Small limit cycles bifurcating from fine focus points in cubic order Z_2-equivariant vector fields," Chaos, Solitons and Fractals, 24(1), 329-348, 2005. [pdf]

    99. X.F. Chen, P. Yu, M. Han and W.J. Zhang, "Canard solutions of two-dimentional singularly perturbed systems," Chaos, Solitons and Fractals, 23(3), 915-927, 2005. [pdf]

    100. P. Yu and S. Zhu, "Computation of the normal forms for general M-DOF systems using multiple time scales. Part I: Autonomous systems," Communications in Nonlinear Science and Numerical simulation, 10(8), 869-905, 2005. [pdf]

      2004   (back to top)

    101. P. Yu and M. Han, "Twelve limit cycles in a 3rd-order planar system with Z_2 symmetry," Communication on Pure and Applied Analysis, 3(3), 515-526, 2004. [pdf]

    102. W.-H. Chen, Z.-H. Guan and P. Yu, "Delay-dependent stability and H_infinity control of uncertain discrete-time Markovian jump systems with mode-dependent time delays," Systems & Control Letters, 52(5), 361-371, 2004. [pdf]

    103. W. Yao, C. Essex, P. Yu and M. Davison, "Measure of predictability," Physical Review E, 69, 066121: 1-13, 2004. [pdf]

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

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

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

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

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

    109. 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 & Chaos, 14(1), 41-60, 2004. [pdf]

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

      2003   (back to top)

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

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

    113. 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. [pdf]

    114. P. Yu and Y. Yuan, "An efficient method for computing the simplest normal forms of vector fields," Int. J. Bifurcation & Chaos, 13(1), 19-46, 2003. [pdf]

    115. K. Pan and P. Yu, "Dynamical analysis on incompressible pre-stressed non-local elastic material," Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 10(1), 127-137, 2003. [pdf]

    116. 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 Systems Series B: Applications & Algorithms, 10(2), 273-286, 2003. [pdf]

    117. 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 Systems Series B: Applications & Algorithms, 10(2), 317-330, 2003. [pdf]

    118. W. Yao, C. Essex and P. Yu, "A new chaotic system for better secure communication," Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms, 10(2), 221-234, 2003. [pdf]

    119. Y. Yuan and P. Yu, "The simplest normal form for 1:2 double Hopf singularity," Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms, 10(1), 123-136, 2003. [pdf]

    120. S. Zhu and P. Yu, "An algorithm for computing normal forms using perturbation technique," Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms, 10(2), 181-193, 2003. [pdf]

    121. P. Yu and K. Pan, "Direct perturbation analysis on cables with concentrated loads," Communications in Nonlinear Science and Numerical simulation, 8(2), 97-112, 2003. [pdf]

      2002   (back to top)

    122. P. Yu, "Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales," Nonlinear Dynamics, 27, 19-53, 2002. [pdf]

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

    124. B. Fraser, P. Yu and T. Lookman, "Steps towards improving the security of chaotic encryption," Physical Review E, 66, 017202, 2002. [pdf]

    125. W. Yao, P. Yu and C. Essex, "Estimation of chaotic parameter regimes via generalized competitive mode approach," Communications in Nonlinear Science and Numerical simulation, 7(4), 197-205, 2002. [pdf]

    126. P. Yu, Y. Yuan and J. Xu, "Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback," Communications in Nonlinear Science and Numerical simulation, 7(1-2), 69-91, 2002. [pdf]

      2001   (back to top)

    127. 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 Mechanics, 36, 597-627, 2001. [pdf]

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

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

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

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

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

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

    134. W. Yao, P. Yu and C. Essex, "Delayed stochastic differential model for quiet standing," Physical Review E, 63, 021902 (8 pages), 2001. [pdf]

    135. B. Fraser, P. Yu and T. Lookman, "Secure communications using chaos synchronization," Physics in Canada, Special Issue on Nonlinear Dynamics, 57(2), 155-161, 2001. [pdf]

    136. 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 in Biology & Medicine, 31(5), 287-301, 2001. [pdf]

    137. 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 Systems Series B: Applications & Algorithms, 8b(2), 219-249, 2001. [pdf]

      1996-2000   (back to top)

    138. A. Gumel, E. Twizell and P. Yu, "Numerical and bifurcation analysis for a population model of HIV chemotherapy," Math. & Computers in Simulation, 54(1-3), 169-181, 2000. [pdf]

    139. 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. [pdf]


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

    141. Q. Bi and P. Yu, "Double Hopf bifurcations and chaos of a nonlinear vibration system," Nonlinear Dynamics, 19, 313-332, 1999. [pdf]

    142. Q. Bi and P. Yu, "Symbolic software development for computing the normal forms of double Hopf bifurcation," Mathematical and Computer Modelling, 29(9), 49-70, 1999. [pdf]

    143. Q. Bi and P. Yu, "Symbolic computation of normal forms for semi-simple cases," J. Comput. and Appl. Math. , 102, 195-220, 1999. [pdf]


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

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

    146. 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 Dynamics in Science and Technology, 5, 1998. [pdf]

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

    148. 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. [pdf]


    149. P. Yu and K. Huseyin, Bifurcation and stability analysis of nonlinear systems via the intrinsic harmonic balancing technique, Part I: autonomous systems, J. Nonlinear Dynamics in Science and Technology 4(2), 93-108, 1997; 4(3), 185-196, 1997. [pdf]

    150. P. Yu, "Explicit vibration solutions of a cable under complicated loads," ASME J. Appl. Mech., 64, 957-964, 1997. [pdf]


    151. 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. [pdf]

    152. 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. [pdf]

    153. 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. [pdf]

    154. 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), 469-489, 1996. [pdf]

      1991-1995   (back to top)

    155. P. Yu, P.S. Wong and F. Kaempffer, "Tension of conductor under concentrated loads," ASME J. Appl. Mech., 62, 802-809, 1995. [pdf]

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

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

    158. 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. [pdf]

    159. 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. [pdf]


    160. 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]

    161. 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. [pdf]

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


    163. P. Yu, A.H. Shah and Popplewell, "Inertially coupled galloping of iced conductors," ASME J. Appl. Mech., 59, 140-145, 1992. [pdf]

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


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

      1986-1990   (back to top)

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

    167. 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. [pdf]


    168. 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. [pdf]

    169. P. Yu and K. Huseyin, "Invariant tori arising at a general critical point of codimension three," Appl. Math. Modelling, 13, 506-523, 1989. [pdf]


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

    171. 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]

    172. P. Yu and K. Huseyin, "Bifurcations associated with a triple-zero eigenvalue of index two or three," ZAMM Z. Angew. Math. Mech., 68(4), T142-T145, 1988. [pdf]

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

    174. K. Huseyin and P. Yu, "On bifurcations into non-resonant quasi-periodic motions," Appl. Math. Modelling, 12, 189-201, 1988. [pdf]

    175. P. Yu and K. Huseyin, "2- and 3-D tori bifurcating from the interaction of static and dynamic modes," Int. J. Sys. Sci., 19(9), 1763-1780, 1988. [pdf]

    176. 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. [pdf]


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



  • Refereed Conference Proceedings Papers     (back to top)
    1. X. Liao, F. Xu and P. Yu, "Absolute stability of Hopfield neural network," Advances in Neural Networks (ISNN 2006) (May 28-June 1, 2006, Chengdu, China), Proc. Part I. Lecture Notes in Computer Science, 3971, 249-254, 2006. [pdf]

    2. Z. Chen, P. Yu, P. Marzocca and L. Librescu, "Time-delayed feedback control of a 2-D supersonic flapped wings," 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (May 1-4, 2006, Hyatt Regency Newport, Newport, Rhode Island), DOI: 10.2514/6.2006-1835 [pdf]

    3. 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. 24-28, 2005, Long Beach, CA), DETC2005-84835, 689-694. [pdf]

    4. Z. Chen and P. Yu, "Double-Hopf bifurcation in an oscillator with external forcing and time-delayed feedback control," Pooc. of IDECT'05, ASME Int. Mech. Eng. Cong. Exp. (Sept. 24-28, 2005, Long Beach, CA), DETC2005-85549, 715-723. [pdf]

    5. P. Yu and Z. Chen, L. Librescu and P. Marzocca, "Stability, bifurcation and jumping phenomenon in a 2-D model of supersonic lifting surfaces," Pooc. of IDECT'05, ASME Int. Mech. Eng. Cong. Exp. (Sept. 24-28, 2005, Long Beach, CA), DETC2005-85549, 695-703. [pdf]

    6. 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 27-29, 2005, Guelph), 433-438. [pdf]

    7. Y. Shi and P. Yu, "Chaos induced by snap-back eepellers and its applications to anti-control of chaos," Proc. of DCDIS 4th Int. Conf. on Engineering Applications and Computational Algorithms (July 27-29, 2005, Guelph), 364-369. [pdf]

    8. Z. Chen and P. Yu, "Parametric study on the stability of a 2-D supersonic lifting surface with time delayed linear and nonlinear feedback controls," Proc. of DCDIS 4th Int. Conf. on Engineering Applications and Computational Algorithms (July 27-29, 2005, Guelph), 535-540. [pdf]

    9. 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 27-29, 2005, Guelph), 754--758. [pdf]

    10. 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 18-21, 2005, Austin, Texas), AIAA-2005-2375, 6954-6971. [pdf]

    11. Y. Shi, P. Yu and G. Chen, "Anti-control of discrete chaos in Banach spaces," Proc. of the 5th EUROMECH Nonlinear Dynamics Conference (August 7-12, 2005, the Eindhoven University of Technology, The Netherlands) 1191-1199. [pdf]

    12. P. Yu, Y. Yuan, L. Librescu and P. Marzocca, "Single/double Hopf bifurcation and aeroelastic instability of a 2-D supersonic lifting surface with time delayed feedback control," 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (April 19-22, 2004, Palm Springs, CA), AIAA-2005-1752, 2634-2653. [pdf]

    13. 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. 15-21, 2003, Washington, D.C.), IMECE2003-55000, 725-731. [pdf]

    14. Z. Wu and P. Yu, "Bifurcation control of Rossler system," Proc. of 2003 ASME Int. Mech. Eng. Cong. Exp. (Nov. 15-21, 2003, Washington, D.C.), IMECE2003-55035, 733-740. [pdf]

    15. 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 15-18, 2003, Guelph), 121-126. [pdf]

    16. 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 15-18, 2003, Guelph), 127-132. [pdf]

    17. S. Zhu and P. Yu, "A comparison of perturbation methods," Proc. of DCDIS 3rd Int. Conf. on Engineering Applications and Computational Algorithms (May 15-18, 2003, Guelph), 402-407. [pdf]

    18. P. Yu, "A general formula for controlling Hopf bifurcation," Proc. of 2002 ASME Int. Mech. Eng. Cong. Exp. (Nov. 17-22, 2002, New Orleans), IMECE2002-32397, 333-340. [pdf]

    19. K. Pan and P. Yu, "Direct perturbation analysis on transmission lines with detuning pendulums," Vibration and Control of Mechanical Systems. (ASME, Nov. 11-16, 2001, New York), DE-Vol. 111, 255-264. [pdf]

    20. 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. 11-16, 2001, New York), DE-Vol. 111, 193-198. [pdf]

    21. P. Yu and Y. Yuan, "Analysis on an osicillator with delayed feedback near double Hopf bifurcation," Vibration and Control of Mechanical Systems. (ASME, Nov. 11-16, 2001, New York), DE-Vol. 111, 117-128. [pdf]

    22. P. Yu, "A method for computing center manifold and normal forms," International Conference on Differential Equations (August 1-7, 1999, Berlin), 2, 832-837, World Scientific, Singapore, 2000. [pdf]

    23. 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 3-7, 1996, Universite du Quebec a Chicoutini, Quebec), 291-294. [pdf]

    24. P. Yu and Y. Yuan, "Simplest normal form of a codimension-two system," Proc. of 17th CANCAM (May 30-June 3, 1999, Hamilton), 367-368. [pdf]

    25. P. Yu and Z. Zhao, "Direct perturbation analysis on nonlinear cable vibrations," Proc. of 17th CANCAM (May 30-June 3, 1999, Hamilton), 109-110. [pdf]

    26. S. Zhu and P. Yu, "Computing normal forms for vibration analysis of nonlinear oscillators via multiple time scales," Proc. of 17th CANCAM (May 30-June 3, 1999, Hamilton), 69-70. [pdf]

    27. P. Yu and K. Huseyin, "On the analysis of internal non-resonant double Hopf bifurcation with symbolic software," Proc. of 15th CANCAM (May 28-June 1, 1995, Victoria), 2, 830-831. [pdf]

    28. P. Yu, N. Popplewell and A.H. Shah, "Free vibration analysis of sagged cables under distributed and concentrated loads," Proc. of 15th CANCAM (May 28-June 1, 1995, Victoria), 1, 374-375. [pdf]

    29. 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), 7-12, 1994.

    30. P. Yu, Y.M. Desai and N. Popplewell, "Predicting the galloping of an electrical transmission line," Proc. of 13th CANCAM (June 2-6, 1991, Winnipeg), 2, 522-523.

    31. 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 15-18, 1991, Southeampton, U.K.), 801-810, 1991.

    32. P. Yu and K. Hyseyin, "Stability and bifurcation analysis on a generic codimension-3 system," Proc. of 9th Symp. on Engng. Appl. Mech. (EAM), 96-103, 1988.

    33. P. Yu and K. Huseyin, "A codimension-3 bifurcation problem and its application to electrical circuits," Proc. of IEEE Int. Symp. on Circuits and Systems (ISCAS), (June 7-9, 1988, Helsinki), 1, 255-259, 1988. [pdf]

    34. P. Yu and K. Huseyin, "Bifurcations associated with a double zero general critical point," Proc. of 11th CANCAM (May 31-June 4, 1987, University of Alberta, Edmonton), 1, A-156-157. [pdf]

    35. 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 13-25, 1986, Toronto), 8, 465-484, 1987 (Eds. F.V. Atkinson, S.F. Langford and A.B.M. Mingarelli). [pdf]



  • Chapters in Books    (back to top)
    1. 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. 1-125, Elsevier: New York, 2006. [pdf]

    2. P. Yu " Bifurcation Dynamics in Control Systems," in Bifurcation Control: Theory and Applications (Eds. G. Chen, D.J. Hill and X. Yu), pp. 99-126, Springer-Verlag: New York, 2003. [pdf]


    Back to Publication List


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