构造具有超混沌特性的二维离散系统  

Constructing two-dimensional discrete hyperchaotic systems

作　　者：程丽[1] 陶路[2] 黄秋楠[3] 彭建华[1] 

机构地区：[1]东北师范大学物理系,吉林长春130024 [2]吉林大学学报编辑部,吉林长春130013 [3]吉林省教育学院物理系,吉林长春130022

出　　处：《东北师大学报（自然科学版）》2002年第3期47-52,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：教育部科学技术重点资助项目 ( 2 0 0 0 -0 0 0 4 2 ) ;吉林省科委科技发展计划资助项目 ( 1 9980 5 0 0 )

摘　　要：用自动生成的方式构造出一类具有超混沌特性的二维离散系统 ,其非线性函数由幂次不高于 2的多项式组成 ,通过计算李氏指数来判断所选的系统是否为超混沌的 .不仅得到一般形式的超混沌系统 ,而且还在特殊限定条件下得到了一些形式简单的超混沌系统 .此外 ,对其中两个系统的分岔特点进行了理论分析 .Two-dimensional discrete hyperchaotic systems were constructed by the method of automatic generation, and the nonlinear function was constituted by polynomial which power was not more than 2. Whether the system obtained was hyperchaos or not can be determined by calculating Lyapunov exponent. Hyperchaotic systems with general format have been achieved, furthermore, their formats were simpler under the special condition. Theoretic analysis on bifurcation character of two hyperchaotic systems were also given.

关 键 词：超混沌特性 二维离散系统 超混沌系统 LYAPUNOV指数 非线性系统 分岔特点 保密通信 

分 类 号：TN918[电子电信—通信与信息系统] O415.5[电子电信—信息与通信工程]