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Analysis of a new three-dimensional chaotic system

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Abstract

In this paper, a new three-dimensional autonomous chaotic system is presented. There are three control parameters and three different nonlinear terms in the governed equations. Basic dynamic properties of the new system are investigated via theoretical analysis and numerical simulation. The nonlinear characteristic of the new three-dimensional autonomous system versus the control parameters is illustrated by bifurcation diagram, Lyapunov-exponent spectrum, phase portraits, etc.

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Authors and Affiliations

  1. Department of Basic Course, Huaian College of Information Technology, Huaian, 223003, P.R. China

    Xuebing Zhang

  2. Faculty of Science Mathematics and Physics, Huaiyin Institute of Technology, Huaian, 223003, P.R. China

    Honglan Zhu

  3. Faculty of Science, Jiangsu University, Zhenjiang, 212013, P.R. China

    Hongxing Yao

Authors
  1. Xuebing Zhang
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  2. Honglan Zhu
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  3. Hongxing Yao
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Correspondence to Xuebing Zhang.

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Zhang, X., Zhu, H. & Yao, H. Analysis of a new three-dimensional chaotic system. Nonlinear Dyn 67, 335–343 (2012). https://doi.org/10.1007/s11071-011-9981-x

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  • DOI: https://doi.org/10.1007/s11071-011-9981-x

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