多涡卷广义蔡氏混沌系统的电路设计

Circuit design of generalized multi-scroll Chua's chaotic system

利用阶梯函数对广义蔡氏混沌系统做平移变换,由此构造出一个分段线性混沌系统,以使其相邻平移线性系统的平衡点可通过异宿环连接。对所构造的多涡卷广义蔡氏混沌系统进行数值仿真和动力学行为分析,结合模块化电路设计方法,借助型号为LM741CH的压控运放,可得出该系统的相关电路设计。数值仿真和电路仿真结果显示,电路设计合理。

With the aid of step function,A translation transformation is applied to the generalized Chua＇s chaotic system,thus,apiecewise linear chaotic system can be constructed,in which,the equilibrium points of the adjacent translational linear system can be connected by a heteroclinic loop.A study on the constructed system is carried out with numerical simulation and the dynamic behavior analysis method.After,combined with modular circuit design method,and with the help of type LM741 CH voltage controlled amplifier,the circuit design of the system is presented.Numerical simulation and circuit simulation results show that the circuit design is reasonable.