CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2007, Vol. 24 ›› Issue (1): 116-120.

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Control Period-doubling Bifurcation and Chaos in a Discrete Nonlinear System by Translation

YU Jinjiang1,3, LIU Xuejun2, HAN Wanqiang1, XU Haibo3   

  1. 1. Department of Physics, Shijiazhuang Teachers College, Shijiazhuang 050035, China;
    2. Department of Mathematics, Shijiazhuang Teachers College, Shijiazhuang 050035, China;
    3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2005-09-06 Revised:2005-12-05 Online:2007-01-25 Published:2007-01-25

Abstract: The control of period-doubling bifurcations and chaotic attractor periodic orbits in a discrete nonlinear dynamical system is realized by translation.Appropriately adjusting the translation parameter and system place,any periodical orbit can be reached in a chaotic system.This method is applied successfully to the Logistic map and the Henon map.

Key words: translation system, chaos control, bifurcation control

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