广义Hénon系统的广义超混沌同步

Generalized synchronization of generalized Hénon maps

提出实现广义混沌或超混沌同步的一种构造响应系统的方法.该方法从已知的混沌或超混沌驱动系统出发,拆分并保留系统稳定的线性部分,通过对驱动系统变量的线性变换构造出响应系统.以具有超混沌特性的广义H啨non离散系统为例,理论分析和数值计算的结果完全一致,表明该方法对于构造广义混沌和超混沌同步系统十分有效.

A method of constructing a driven system is brought forward to realize generalized chaotic or hyperchaotic synchronization. Taking a chaotic or hyperchaotic system as a driving system, we decompose its linear part to make it stable, and then construct a driven system via the linear transformation of the driving one. Taking generalized Hénon map, a hyperchaotic discrete system, as an example, it is found that the theoretical analysis is consistent with numerical calculation. Further more, it shows that the method is particularly effective for constructing generalized synchronization of chaos or hyperchaos.