基于改进Lorenz系统的多翼混沌吸引子及其电路设计

在以Lorenz系统为基础的一个新混沌系统上添加驱动信号,提出一个新的多翼对称非自治混沌系统.在某一固定频率下,该系统出现了20翼的混沌吸引子.从仿真结果可以看出,此种改造方法不仅保留了原系统的混沌特性,而且增加了吸引子的拓扑结构复杂性.最后,设计了系统的模拟电路,从物理上验证新系统的混沌特性和数值仿真的一致性.

A Multi-Wing Chaotic Attractors of the Modified Lorenz System and Its Circuit Design

A novel non-autonomous chaotic system with multi-wing and symmetry was proposed by adding a driving signal to a chaotic system based on Lorenz system.The system may have twenty-wing chaotic attractors at a fixed frequency of the input signal.Simulation results show that the chaotic property is preserved in the novel system,and moreover,the complexity of topological structure of attractors is enhanced.Finally,an analog electronic circuit was designed to implement the novel system physically.Experimental results of the novel chaotic circuit well agree with the simulation results.