二维离散非线性系统的超混沌特性与结构

Hyperchaotic Characteristic and Structure of Two-Dimensional Discrete Chaotic Systems

对两个超混沌系统的分岔特点进行理论分析,给出构造具有超混沌特性二维离散系统的一般方法,并通过Lya-punov指数来判断所选的系统是否为超混沌。不仅得到超混沌系统的一般形式,而且还在特殊限定条件下获得一些形式简单的超混沌系统。

A theoretical analysis on bifurcation character of two hyper chaotic systems was given out. Two - dimensional discrete hyper chaotic systems were constructed, and the nonlinear function was constituted by polynomial whose power was not more than 2. Whether the system obtained was hyper chaos or not, it can be determined by calculating Lyapunov exponent. Hyper chaotic systems with a general format have been achieved, and their format was simple under special conditions.