{"title":"Dynamical analysis and anti-synchronization of a new 6D model with self-excited attractors","authors":"Saad Fawzi Al-Azzawi, Ahmed S. Al-Obeidi","doi":"10.1007/s11766-023-3960-0","DOIUrl":null,"url":null,"abstract":"<div><p>A novel 6D dissipative model with an unstable equilibrium point is introduced herein. Some of the dynamic characteristics of the proposed model were explored via analyses and numerical simulations including critical points, stability, Lyapunov exponents, time phase portraits, and circuit implementation. Also, anti-synchronization phenomena were implemented on the new system. Firstly, the error dynamics is found. Then, four different controllers are adopted to stabilize this error relying on the nonlinear control technique with two main ways: linearization and Lyapunov stability theory. In comparison with previous works, the present controllers realize anti-synchronization based on another method/linearization method. Finally, a comparison between the two ways was made. The simulation results show the effectiveness and accuracy of the first analytical strategy.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"27 - 43"},"PeriodicalIF":1.0000,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics-A Journal of Chinese Universities Series B","FirstCategoryId":"1089","ListUrlMain":"https://link.springer.com/article/10.1007/s11766-023-3960-0","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A novel 6D dissipative model with an unstable equilibrium point is introduced herein. Some of the dynamic characteristics of the proposed model were explored via analyses and numerical simulations including critical points, stability, Lyapunov exponents, time phase portraits, and circuit implementation. Also, anti-synchronization phenomena were implemented on the new system. Firstly, the error dynamics is found. Then, four different controllers are adopted to stabilize this error relying on the nonlinear control technique with two main ways: linearization and Lyapunov stability theory. In comparison with previous works, the present controllers realize anti-synchronization based on another method/linearization method. Finally, a comparison between the two ways was made. The simulation results show the effectiveness and accuracy of the first analytical strategy.
期刊介绍：
Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects.
The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry.
Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.
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