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基于阈值可调切换系统的多翅膀混沌吸引子设计及电路仿真
投稿时间:2019-06-27    点此下载全文
引用本文:石擎宇,黄霞.基于阈值可调切换系统的多翅膀混沌吸引子设计及电路仿真[J].南京信息工程大学学报,2019,11(4):467~473
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作者单位E-mail
石擎宇 山东科技大学 电气与自动化工程学院, 青岛, 266590  
黄霞 山东科技大学 电气与自动化工程学院, 青岛, 266590 huangxia@sdust.edu.cn 
基金项目:国家自然科学基金(61973199,61573008)
中文摘要: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.
中文关键词: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
 
Design and circuit simulation of a multi-wing chaotic attractor based on a threshold-adjustables witched system
Abstract: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.
keywords:switched system  threshold turning approach  state-dependent system  multi-wing chaotic attractors  circuit simulation
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