一个新混沌系统及其动力学分析  

Analyzing on a Novel Chaotic System and its Dynamic Behaviors

作　　者：张平伟[1] 尹训昌[1] 李娟[1] 余春日[1] 

机构地区：[1]安庆师范学院物理与电气工程学院,安徽安庆246133

出　　处：《安庆师范学院学报（自然科学版）》2013年第2期72-75,共4页Journal of Anqing Teachers College(Natural Science Edition)

基　　金：安徽省青年教师科研资助项目(2008jq1100)资助

摘　　要：提出了一个新的三维自治混沌系统,具体分析了其基本动力学特性,得到了系统Lyapunov的指数和维数,通过数值模拟,给出了系统仿真图,Poincare'映射图,Lyapunov指数谱,重点分析了不同参数变化对系统动力学行为的影响。数值模拟证实了其不同于其他混沌系统的拓扑结构。In this paper, a novel three -dimensional autonomous chaotic system is reported. The dynamic properties of the new system are investigated via Lyapunov dimension, numerical simulation, Poincare diagrams and Lyapunov exponent spectrum. The different dynamic behaviors of the system are analyzed especially when each system parameter is changed. The simulation re- sults confirm that the chaotic system is different from the existing chaotic systems and is a novel chaotic system.

关 键 词：混沌系统 LYAPUNOV指数谱 Poincare’截面图 

分 类 号：O415.5[理学—理论物理]