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Bifurcation of Equilibria in a Class of Planar Piecewise Smooth Systems with 3 Parameters 被引量：1

Bifurcation of Equilibria in a Class of Planar Piecewise Smooth Systems with 3 Parameters
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摘要 The goal of this paper is to investigate the bifurcation properties of stationary points of a class of planar piecewise smooth systems with 3 parameters using the theory of differential inclusions. We especially study the existence of the stationary points on the line of discontinuity of this kind of planar piecewise smooth system. The goal of this paper is to investigate the bifurcation properties of stationary points of a class of planar piecewise smooth systems with 3 parameters using the theory of differential inclusions. We especially study the existence of the stationary points on the line of discontinuity of this kind of planar piecewise smooth system.
作者 ZANG LIN CHEN XU-MEI GONG CHENG-CHUN Zou YONG-KUI
机构地区 Institute of Mathematics
出处 《Communications in Mathematical Research》 CSCD 2009年第3期204-212,共9页 数学研究通讯（英文版）
基金 The NSF (10671082) of China the postgraduate program of 985 (20080239) of Jilin University
关键词 piecewise smooth system line of discontinuity EQUILIBRIA BIFURCATION piecewise smooth system, line of discontinuity, equilibria, bifurcation
分类号 O347.6 [理学—固体力学] TM46 [电气工程—电器]
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参考文献11

  • 1Di Bernardo, M., Feigin, M. I., Hogan, S. J. and Homer, M. E., Local analysis of C-bifurcations in n-dimensional piecewise-smooth dynamical systems, Chaos Solitons Fractals, 10(1999), 1881-1908.
  • 2Banerjee, S. and Verghese, G., Nonlinear Phenomena in Power Electronics: Attractors, Bifurcations, Chaos, and Nonlinear Control, IEEE Press, New York, 2001.
  • 3Kunze, M., Non-smooth Dynamical Systems, Lecture Notes in Mathematics, Vol. 1744, Springer-Verlag, Berlin, 2000.
  • 4Zou, Y. and Kiipper, T., Generalized Hopf bifurcation emanated from a corner for piecewise smooth planar systems, Nonlinear Anal., 62(2005), 1-17.
  • 5Kuznetsov, Y. A., Elements of Applied Bifurcation Theory, Applied Mathematical Sciences, Vol. 112, 3rd ed., Springer-Verlag, New York, 2004.
  • 6Seydel, R., Practical Bifurcation and Stability Analysis, Interdisciplinary Applied Mathemat- ics, Vol. 5, 2nd ed., Springer-Verlag, New York, 1994.
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  • 8Leine, R. I., Bifurcations of equilibria in non-smooth continuous systems, Phys. D, 223(2006), 121-137.
  • 9Giannakopoulos, F. and Pliete, K., Planar systems of piecewise linear differential equations with a line of discontinuity, Nonlinearity, 14(2001), 1611-1632.
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引证文献1

Communications in Mathematical Research
2009年 第3期

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