A study on nonlinear dynamics of a two-peak chaotic system
  Revised:December 26, 2005
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DOI:10.7511/jslx20073066
KeyWord:two-peak chaotic system,intermittent chaotic,chaotic attractor,period-doubling bifurcations
YU Jin-jiang  WANG Rong-ai  XU Hai-bo
1. Department of physics, Shijiazhuang Normal College, Shijiazhuang 050801 ,China; 2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
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Abstract:
      Studying the nonlinear dynamics of a two-peak chaotic system,we found that the behaviour of the system begins with chaos,through intermittent chaotic,fixed points,period-doubling bifurcations to two chaotic attractors,converges to another fixed point,finally turns up to a new chaotic state.Computer simulations prove the validity of theory,it shows that there are a lot of chaotic phenomena in a two-peak discrete chaotic system,during a given range of system parameters,importing different original values,two different bifurcation series and attractors will appear in the same system.The iteration procedure of the system occurs between the two values,the whole two-peak chaotic system has complicated nonlinear dynamic behaviour.It's important for the studying of multi-attractors in theory and applications.