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A NEW SIMPLE 2-D PIECEWISE LINEAR MAP

A NEW SIMPLE 2-D PIECEWISE LINEAR MAP
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摘要 A new simple piecewise linear map of the plane is presented and analyzed, then a detailed study of its dynamical behaviour is described, along with some other dynamical phenomena, especially fixed points and their stability, observation of a new chaotic attractors obtained via border collision bifurcation. An important resuk about coexisting chaotic attractors is also numerically studied and discussed.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2010年第2期379-389,共11页 系统科学与复杂性学报(英文版)
关键词 Border collision bifurcation new chaotic attractor piecewise linear map. 分段线性映射 混沌吸引子 边界碰撞分岔 动态行为 力学现象 数值研究 稳定性 固定点
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  • 1R. L. Devaney, A piecewise linear model for the zones of instability of an area-preserving map, Physica 10D, 1984, 387-393.
  • 2R. Lozi, Un attracteur etrange du type attracteur de Henon, Journal de Physique, Colloque C5, Supplement au n^0 8, 1978, 39: 9-10.
  • 3Y. Cao and Z. Liu, Strange attractors in the orientation-preserving Lozi map, Chaos Solitons Fractals, 1998, 9(11): 1857-1863.
  • 4D. Aharonov, R. L. Devaney, U. Elias, The dynamics of a piecewise linear map and its smooth approximation, International Journal of Bifurcation and Chaos, 1997, 7(2): 351-372.
  • 5P. Ashwin and X. C. Fu, On the dynamics of some nonhyperbolic area-preserving piecewise linear maps, in Mathematics in Signal Processing V, Oxford Univ Press IMA Conference Series, 2002.
  • 6J. Scheizer and M. Hasler. Multiple access communication using chaotic signals, in Proc. IEEE ISCAS'96, Atlanta, USA, 1996, 3, 108.
  • 7A. Abel, A. Bauer, K. Kerber, and W. Schwarz, Chaotic codes for CDMA application, in Proc. ECCTD'97, 1997, 1: 306.
  • 8S. Banerjee and G. C. Verghese, Nonlinear Phenomena in Power Electronics: Attractors, Bifurcations, Chaos, and Nonlinear Control, IEEE Press, New York, 2001.
  • 9S. Banerjee, S. Parui, and A. Gupta, Dynamical effects of missed switching in current-mode controlled dc-dc converters, IEEE Trans. Circuits & Systems Ⅱ, 2004, 51: 649-654.
  • 10R. Rajaraman, I. Dobson, and S. Jalali, Nonlinear dynamics and switching time bifurcations of a thyristor controlled reactor circuit, IEEE Trans. Circuits & Systems Ⅰ, 1996, 43: 1001-1006.

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