一个新自治混沌系统的动力学分析  

DYNAMICS ANALYSIS OF A NEW AUTONOMOUS CHAOTIC SYSTEM

作　　者：高智中[1] 

机构地区：[1]安徽科技学院理学院,安徽凤阳233100

出　　处：《数值计算与计算机应用》2012年第1期1-8,共8页Journal on Numerical Methods and Computer Applications

基　　金：安徽省高校省级优秀青年人才基金(2012SQRL146)

摘　　要：为产生复杂的混沌信号用于混沌保密通讯,构造了一个不同于经典的Lorenz系统、Chen系统和L系统的三维连续自治混沌系统,该系统含有二个参数,二个非线性项.利用理论分析和数值仿真、Lyapunov指数谱、分岔图、相图、时间响应和功率谱等非线性动力学分析方法,研究了新混沌系统的一些基本动力学特性.分析结果表明,该混沌系统具有丰富的动力学行为,并能通过一个常数控制器控制到稳定的周期轨道.In order to generate complex chaotic signals for chaotic information engineering, a three- dimensional continuous autonomous chaotic system with two parameters and two quadratic cross-product terms is constructed,which is different from classic Lorenz system, Chen system and Lii system. Some basic dynamical properties of the new system are analyzed by means of theoretical analysis and nonlinear techniques,such as numerical simulation,Lyapunov expo- nent spectrum,bifurcation diagram,phase diagram,time response and power spectrum.Results show that the chaotic system has abundant dynamical behaviors.It can be controlled and obtained stable period attractor by a constant controller.

关 键 词：新混沌系统 相图 分岔图 LYAPUNOV指数谱 常数控制器 

分 类 号：O415.5[理学—理论物理]