文章基本信息

标题：Multistability in a Novel Chaotic System with Perpendicular Lines of Equilibrium: Analysis, Adaptive Synchronization and Circuit Design
本地全文：下载
作者：Aceng Sambas ; Sundarapandian Vaidyanathan ; Sen Zhang 等
期刊名称：Engineering Letters
印刷版ISSN：1816-093X
电子版ISSN：1816-0948
出版年度：2019
卷号：27
期号：4
页码：744-751
出版社：Newswood Ltd
摘要：This paper reports the finding of a new chaoticsystem with perpendicular lines of equilibrium points. Thus,this paper makes a valuable addition to existing chaoticsystems with infinite number of equilibrium points in thechaos literature. Specifically, we show that the new threedimensionalchaotic system has the y and z coordinate axesas its line equilibrium points, which are perpendicular. Theperiod-1 attractor, period-2 attractor and chaotic attractor inthe system are numerically studied by Lyapunov exponents,bifurcation diagrams and phase diagrams. In addition, thecoexisting period-1 attractors and coexisting chaotic attractorsof the system are presented. Adaptive controller is devised forglobal chaos synchronization of identical new chaotic systemswith unknown parameters. An electronic circuit simulation ofthe new chaotic system with perpendicular lines of equilibriumpoints is shown using Multisim to check the feasibility of themodel.
关键词：Chaos; chaotic systems; multistability; adaptive;control; synchronization; circuit design.