ZHANG Zhuan-zhou, SHAN Zhen-pei, LIU Yan-min. Dynamics Analysis for a New 3-Dimensional Nonlinear System[J]. Applied Mathematics and Mechanics, 2013, 34(12): 1321-1326. doi: 10.3879/j.issn.1000-0887.2013.12.011
Citation: ZHANG Zhuan-zhou, SHAN Zhen-pei, LIU Yan-min. Dynamics Analysis for a New 3-Dimensional Nonlinear System[J]. Applied Mathematics and Mechanics, 2013, 34(12): 1321-1326. doi: 10.3879/j.issn.1000-0887.2013.12.011

Dynamics Analysis for a New 3-Dimensional Nonlinear System

doi: 10.3879/j.issn.1000-0887.2013.12.011
  • Received Date: 2013-04-27
  • Rev Recd Date: 2013-10-24
  • Publish Date: 2013-12-16
  • The nonlinear chaotic autonomous 3-dimensional system is algebraically simple but could generate complex chaotic attractors. The chaotic system was demonstrated through theoretical analysis and numerical simulation,and the range of the parameters which could induce the system to be unstable was analyzed. The dynamic characteristics of the system are revealed with bifurcation diagram and Lyapunov exponent spectrum.
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