【作者】 欧文芳； 赖旭芝； 吴敏； 曹卫华；

【Author】 Wenfang Ou, Xuzhi Lai, Min Wu, Weihua Cao School of Information Science and Engineering,Central South University, Changsha 410083

【机构】 中南大学信息科学与工程学院；

【摘要】 本文设计一种结构简单且只含有一个非线性项的新三维混沌系统,它包含三个设计参数.通过对系统平衡点稳定性分析、Lyapunov指数的计算和在设计参数改变时系统出现的分岔现象,理论上论证该系统属于混沌系统.最后,利用MATLAB软件对系统进行数值仿真,系统出现了典型的混沌吸引子,同时根据分岔图观察系统的倍周期分岔现象,仿真实验证明该系统具有混沌特性.更多还原

【Abstract】 This paper designs anew three-dimensional chaotic system with a simple structure and only a nonlinear term, it contains three design parameters.We demonstrate the system is chaotic theoretically by the stability analysis of the equilibrium point, Lyapunov index calculation, and bifurcation phenomenon of the system when design parameter changes.Finally,numerical simulation shows that a typical chaotic attractor happens in this system by using MATLAB software, and the period-doubling bifurcation phenomenon is observed according to the bifurcation diagram. The simulation results prove that the system possesses the characteristics of chaos.更多还原