{"title":"Exploring the Different Order of Switches During Multi-switching Synchronization","authors":"Mohammad Shahzad","doi":"10.1007/s40995-024-01647-3","DOIUrl":null,"url":null,"abstract":"<div><p>The current study explores the concept of generalization of multi-switching synchronization. It contains designing the various orders of switches based on the number of state variables in the drive and response subsystems. The proposed theme is demonstrated using two hyper chaotic systems, namely Chen and Lorenz, with the aid of nonlinear active control. Prior to achieving synchronization, a chaotic analysis is conducted, including the Lyapunov characteristics exponents, fractional dimensions, and dissipativity. The study presents four distinct orders of switches (heterogeneous) and validates the computational results using Mathematica. This research contributes to the understanding of the multi-switching synchronization in broad sense and its potential applications in synchronizing the chaotic systems.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 4","pages":"965 - 977"},"PeriodicalIF":1.4000,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-024-01647-3","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
The current study explores the concept of generalization of multi-switching synchronization. It contains designing the various orders of switches based on the number of state variables in the drive and response subsystems. The proposed theme is demonstrated using two hyper chaotic systems, namely Chen and Lorenz, with the aid of nonlinear active control. Prior to achieving synchronization, a chaotic analysis is conducted, including the Lyapunov characteristics exponents, fractional dimensions, and dissipativity. The study presents four distinct orders of switches (heterogeneous) and validates the computational results using Mathematica. This research contributes to the understanding of the multi-switching synchronization in broad sense and its potential applications in synchronizing the chaotic systems.
期刊介绍：
The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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