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新的分数阶混沌系统及其同步
Synchronization of a New Fractional-Order Chaotic System
【摘要】 提出一个新的分数阶混沌系统,该系统含有三个参数,三个非线性项.通过理论分析,给出了分数阶混沌系统存在混沌吸引子的必要条件,通过数值仿真给出了混沌吸引子的图像,接着设计自适应同步控制器和参数自适应律,实现分数阶混沌系统的同步,数值仿真的结果表明设计控制器很好的实现了驱动系统和响应系统的同步.
【Abstract】 In this paper,a new fractional-order chaotic system is presented.There are three control parameters and three different nonlinear term in the governed equations.Basic dynamic properties of the new system are investigated via theoretical analysis and numerical simulation.And the chaos attractor is presented through the matlab.Follow design synchronization system through adaptive method.The conclusion of the emulation indicates that the method is speediness and efficiency.
【关键词】 分数阶混沌系统;
自适应;
同步;
【Key words】 fractional-order chaotic system; Lyapunov exponent; Synchronization;
【Key words】 fractional-order chaotic system; Lyapunov exponent; Synchronization;
【基金】 国家自然科学基金(70871056)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2012年06期
- 【分类号】O415.5;O231
- 【被引频次】1
- 【下载频次】157