A hyperchaotic system without equilibrium
A hyperchaotic system without equilibrium
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DOI：
10.1007/s11071-011-0284-z
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发表时间：
2012-07
影响因子：
5.6
通讯作者：
Zenghui Wang;Shijian Cang;E. O. Ochola;Yanxia Sun
中科院分区：
文献类型：
--
作者：
Zenghui Wang;Shijian Cang;E. O. Ochola;Yanxia Sun
本文介绍了一个新的 4 维自治常微分方程混沌系统，该系统没有平衡点。该系统显示出超混沌吸引子。由于不存在平衡，因此该系统中不存在汇。通过数值模拟和分析（包括时间相位图、李雅普诺夫指数和庞加莱图）对所提出的系统进行了研究。该混沌系统与其他用相图、李亚普诺夫指数和时间序列方法表示的具有一个或多个平衡点的混沌系统差别不大，但庞加莱图表明该系统是一个动力学更为复杂的混沌系统。此外，还给出了电路实现。
This article introduces a new chaotic system of 4-D autonomous ordinary differential equations, which has no equilibrium. This system shows a hyper-chaotic attractor. There is no sink in this system as there is no equilibrium. The proposed system is investigated through numerical simulations and analyses including time phase portraits, Lyapunov exponents, and Poincaré maps. There is little difference between this chaotic system and other chaotic systems with one or several equilibria shown by phase portraits, Lyapunov exponents and time series methods, but the Poincaré maps show this system is a chaotic system with more complicated dynamics. Moreover, the circuit realization is also presented.