摘要
在一个三阶自治混沌系统的基础上,通过添加一个控制变量生成了一个新的四阶自治超混沌系统,并研究了此超混沌系统的平衡点、李雅普诺夫指数、相图等动力学特性。当导数的阶数变为3.6阶时,此超混沌系统变为分数阶超混沌系统,利用预估-校正方法,对此分数阶超混沌系统进行了数值仿真,通过生成的相图证明了此分数阶超混沌系统仍然表现出超混沌动力学行为。
Based on a three-order autonomous chaotic system, this paper generates a new four-order autonomous hyperchaotic system by adding a control variable, and studies the dynamic characteristics of the system, including the equilibrium points, Lyapunov Exponent and phase diagrams. When the order of the derivative is 3.6, this system becomes a fractional order hyperchaotic system. According to prediction-correction method, the numerical simulation is made to this fractional order hyperchaotic system, and the hyperehaos dynam- ics behavior shown in it is proved by the generated diagrams.
出处
《长春大学学报》
2014年第2期150-152,共3页
Journal of Changchun University
关键词
超混沌系统
平衡点
李雅普诺夫指数
预估-校正法
hyperchaotic system
equilibrium point
Lyapunov Exponent
prediction-correction method
