文献类型： 外文期刊

作者： Liao, Bo ¹ ; Tang, Yuan Yan ² ; An, Lu ⁴ ;

作者机构： 1.Univ Calif Berkeley, Haas Sch Business, Berkeley, CA 94720 USA

2.Chongqing Univ, Coll Comp Sci, Chongqing 400044, Peoples R China

3.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China

4.Univ Sci & Technol Beijing, Sch Appl Sci, Beijing 100083, Peoples R China

关键词： Chaos;Lorenz system;Equilibrium;Lyapunov exponent

期刊名称：INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING （ 影响因子：1.408； 五年影响因子：1.062 ）

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收录情况： SCI

摘要： This paper introduces two types of Lorenz-like three-dimensional quadratic autonomous chaotic systems with 7 and 8 new parameters free of choice, respectively. Both systems are investigated at the equilibriums to study their chaotic characteristics. We focus our attention on the second type of the introduced system which consists of three nonlinear quadratic equations. Predictably, coordinates of the equilibriums are prohibitively complex. Therefore, instead of directly analyzing their stability, we prove the asymptotical characterization of equilibriums by utilizing our preliminary results derived for the first type of system. Our result shows that, though the coordinates of equilibriums satisfy a ternary quadratic, the system still contains only three equilibriums in circumstances of chaos. Sufficient conditions for the chaotic appearance of systems are derived. Our results are further verified by numerical simulations and the maximum Lyapunov exponent for several examples. Our research takes a first step in investigating chaos in Lorenz-like dynamic systems with strengthened nonlinearity and general forms of parameters.