摘要
本文提出了一种通过调节一类状态依赖切换系统的阈值来生成多翅膀混沌吸引子的设计方案.首先,设计了两个类Lorenz子系统;然后,基于这两个子系统构造了一个状态依赖于阈值的切换策略,从而构造了一类状态依赖于阈值的切换系统;最后,通过调整切换系统的阈值来改变鞍焦平衡点的个数与分布,使得该切换系统能够产生4-6-8翅膀的混沌吸引子.此外,根据切换系统的状态方程设计了该系统的模拟电路,电路仿真结果与数值仿真结果一致.实验结果证实:该设计方案可以在不增加系统维数或无需设计复杂非线性函数的情况下生成多翅膀混沌吸引子.
In this paper,a design scheme for the generation of multi-wing chaotic attractors by adjusting the threshold of a class of state-dependent switched systems is proposed.First,two Lorenz-like subsystems are constructed,and based on these two subsystems,threshold-dependent switching law is designed,and a state-dependent switched system is constructed.Finally,by adjusting the threshold of the switched system,the number and distribution of saddle-focus equilibrium points of the switched system can be changed.Therefore,the constructed switched system can generate chaotic attractors with 4-6-8 wings.In addition,the analog circuit of the switched system is designed by analyzing the state equations of the switched system.The simulation results of the analog circuit are consistent with those of numerical simulation.The experimental results show that the proposed design scheme provides a method of generating multi-wing chaotic attractors without increasing the dimension of the system or designing complex nonlinear functions.
作者
石擎宇
黄霞
SHI Qingyu;HUANG Xia(College of Electrical Engineering and Automation,Shandong University of Science and Technology,Qingdao 266590)
出处
《南京信息工程大学学报（自然科学版）》
CAS
2019年第4期467-473,共7页
Journal of Nanjing University of Information Science & Technology（Natural Science Edition）
基金
国家自然科学基金(61973199,61573008)
关键词
切换系统
阈值调节方法
状态依赖系统
多翅膀混沌吸引子
电路仿真
switched system
threshold turning approach
state-dependent system
multi-wing chaotic attractors
circuit simulation
