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一个四翼吸引子的超混沌系统设计与实现 被引量:1

Design and Implementation of a Four-wings Hyperchaotic System
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摘要 为提高混沌吸引子的拓扑结构的复杂性,利用把z轴双极性化的方法,通过修改已知系统的第3个方程,将原系统的双翼吸引子系统变为了四翼吸引子系统,对新产生的系统进行了理论分析和计算机仿真,Lyapunov指数计算表明系统具有两个正的Lyapunov指数,采用模块化的方法,设计了一个模拟电路对系统进行了实验,实验所得相图与数值仿真一致,二者都是具有四翼的吸引子,从而证明了理论分析和数值仿真的正确性。 The third equation of hyper-chaotic system is modified and polarities are made double for z axis, thus to enhance the complexity of attractors' topological structure. The attractors' structure of the system is varied from two-wing to four-wing. Theoretical analyses and numerical simulations are done on the novel hyper-chaotic system; calculation indicates that this system has two positive Lyapunov exponents. In addition, an analogue circuit is designed with modular method and an experimented is done on this system. The result shows that the system has a four-wing attractor and the simulation also indicates that theoretical analyses and numerical simulation are correct.
出处 《通信技术》 2012年第1期125-127,共3页 Communications Technology
基金 山东省科技发展计划项目(No.2009GG10001030)
关键词 超混沌系统 四翼吸引子 李雅普诺夫指数 hyper-chaotic system four-wing attractor Lyapunov exponent
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