构造具有超混沌特性的二维离散系统

Constructing two-dimensional discrete hyperchaotic systems

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.