含有双曲函数非线性项的超混沌系统及其同步

Hyperchaotic System with a Hyperbolic Function Nonlinear Term and Its Synchronization

提出了一个新的自治超混沌系统,该超混沌系统的非线性特征主要依赖于一个非线性二次双曲余弦项和一个非线性二次交叉项.对系统的基本动力学特性进行了数值模拟和理论分析.研究了实现此超混沌系统同步的一种方法,实现了2个异结构混沌系统的渐进性和全局性同步,而且在同步过程中并未删除驱动系统的非线性项.数值模拟验证了该方法的有效性和可行性.

A new autonomous hyperchaotic system was proposed. The chaotic system mainly relies on a nonlinear quadratic hyperbolic cosine term and a quadratic crossproduct term. The basic dynamical proper ties of the system were studied by means of numerical and theoretical analysis. Moreover, a synchroniza tion method for the new hyperchaotic system was established to synchronize the two nonidentical chaotic systems asymptotically and globally. The nonlinear terms in the drive system were not dropped. Numerical simulations are provided to show the effectiveness and feasibility of the methods developed.