网格多翅膀超混沌系统的构造与生成

Construction and Generation of Grid Multi-wing Hyperchaotic Systems

提出了基于符号函数切换和超异宿环方法构造和生成网格多翅膀分段线性超混沌系统.以Lorenz系统为例,首先在其平衡点处线性化并引入线性反馈控制器,根据符号函数切换控制,寻找连接平衡点的超异宿环,然后通过平移变换,生成网格多翅膀超混沌Lorenz吸引子.理论分析与数值模拟结果证实了该方法的可行性.

It proposes an approach for constructing and generating grid multi-wing piecewise-linear hyperchaotic systems via sign function switching and super-heteroclinic loop.Take the Lorenz system for example.The related system was linearized at its equilibrium points,and a linear feedback controller was introduced.According to sign function switching control,the super-heteroclinic loop connecting the equilibrium points was found.By shifting transformation,grid multi-wing hyperchaotic Lorenz attractors were then formed.The theoretical analysis and numerical simulation have demonstrated the feasibility and effectiveness of this method.