PUBLICATIONS (1986-2010)

Back to Yu's home page

  • Books  

  • Chapters in Books  

  • Refereed Journal Papers   2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  1996-2000  1991-1995  1986-1990



  • Books    (back to top)

    1. X. Liao and P. Yu " Absolute Stability of Nonlinear Control Systems," (384 pages, Springer-Verlag, New York, 2008).

    2. X. Liao, L. Wang and P. Yu " Stability of Dynamical Systems," (706 pages, Elsvier, Amsterdam, 2007).


  • 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.

    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.


  • Papers in Refereed Conference Proceedings  (37, not listed)


  • Refereed Journal Papers  

      • 2010   (back to top)

    1. 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, (to appear).

    2. M. Gazor and P. Yu, " Formal decomposition method and parametric normal form," Nonlinearity, (final version submitted).

    3. M. Gazor and P. Yu, " Spectral sequences and parametric normal forms," Int. J. Bifurcation & Chaos (accepted for publication).

    4. J. Yang, M. Han, J. Li and P. Yu, " Existence conditions of thirteen limit cycles in a cubic system," Int. J. Bifurcation & Chaos, 20(11), 2010.

    5. P. Yu, M. Han and J. Zhang, " Critical periods of 3rd-order planar Hamiltonian systems," Int. J. Bifurcation & Chaos, 20(6), 2010.

    6. M. Han, J. Yang and P. Yu, " Hopf Bifurcations for near-Hamiltonian Systems," Int. J. Bifurcation & Chaos, 20(3), 2010.

    7. 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.

      2009   (back to top)

    8. 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.

    9. 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), 2009.

    10. 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.

    11. 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.

    12. 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.

    13. 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.

    14. 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.

      2008   (back to top)

    15. 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.

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

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

    18. 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.

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

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

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

    22. 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), 57-74, 2008.

    23. 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.

      2007   (back to top)

    24. 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

    25. 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.

    26. 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.

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

    28. 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.

    29. 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.

    30. 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.

    31. 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.

    32. 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.

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

    34. 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.

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

    36. 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.

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

    38. 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.

      2006   (back to top)

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

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

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

    42. 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.

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

    44. 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.

    45. 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.

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

    47. 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.

    48. 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.

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

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

    51. 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.

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

    53. 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.

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

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

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

    57. 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.

    58. 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.

      2005   (back to top)

    59. 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.

    60. 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.

    61. 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.

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

    63. 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 file

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

    65. 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.

    66. 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.

    67. 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.

    68. 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.

    69. 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.

    70. 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.

      2004   (back to top)

    71. 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.

    72. 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.

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

    74. 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 file

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

    76. 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 file

    77. 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 file

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

    79. 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 file

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

      2003   (back to top)

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

    82. 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.

    83. 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.

    84. 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 file

    85. 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(1-3), 127-137, 2003.

    86. 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(1-3), 273-286, 2003.

    87. 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(1-3), 317-330, 2003.

    88. 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(1-3), 221-234, 2003.

    89. 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(1-3), 123-136, 2003.

    90. 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(1-3), 181-193, 2003.

      2002   (back to top)

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

    92. 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.

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

    94. P. Yu and K. Pan, " Direct perturbation analysis on cables with concentrated loads," Communications in Nonlinear Science and Numerical simulation, 8(2), 97-112, 2002.

    95. 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.

    96. 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.

      2001   (back to top)

    97. 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 file

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

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

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

    101. 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 file

    102. 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 file

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

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

    105. 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 file

    106. 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," J. Computers in Biology & Medicine, 31(5), 287-301, 2001.

    107. 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(3), 219-249, 2001. PDF file

      1996-2000   (back to top)

    108. P. Yu, " A method for computing center manifold and normal forms," International Conference on Differential Equations (Berlin 1999), 2, 832-837, World Scientific, Singapore, 2000.

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

    110. 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 file

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

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

    113. 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.

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

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

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

    117. 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.

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

    119. 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 file

    120. 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.

    121. P. Yu, " Explicit vibration solutions of a cable under complicated loads," ASME J. Appl. Mech., 64, 957-964, 1997. PDF file

    122. 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.

    123. 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.

    124. 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.

    125. 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.

      1991-1995   (back to top)

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

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

    128. 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.

    129. 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.

    130. 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.

    131. 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.

    132. 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.

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

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

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

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

      1986-1990   (back to top)

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

    138. 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.

    139. 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.

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

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

    142. 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.

    143. P. Yu and K. Huseyin, "Perturbing Hopf bifurcation leads to two and high dimensional tori," ASME Review, 9(2), 23-35, 1988.

    144. 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.

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

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

    147. 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.

    148. 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.

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

    Back to Publication List

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