{"title":"Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status","authors":"Lihong Huang, Jiafu Wang","doi":"10.1137/24m1634941","DOIUrl":null,"url":null,"abstract":"SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 3, Page 2533-2556, September 2024. <br/> Abstract. This paper is concerned with global dynamics, especially periodicity, for a piecewise smooth system incorporating a new control strategy. The switches take place at discrete times and depend on the status. By employing the approach of Poincaré maps, the existence, exact number, and asymptotical stability of periodic solutions are investigated thoroughly in some parameter regions. The periodic solutions are induced by the control strategy. As applications, convergence and periodicity are studied both for a fishery model and for an SIS model with discrete time on-off control. Numerical simulations are performed to verify our results.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1137/24m1634941","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 3, Page 2533-2556, September 2024. Abstract. This paper is concerned with global dynamics, especially periodicity, for a piecewise smooth system incorporating a new control strategy. The switches take place at discrete times and depend on the status. By employing the approach of Poincaré maps, the existence, exact number, and asymptotical stability of periodic solutions are investigated thoroughly in some parameter regions. The periodic solutions are induced by the control strategy. As applications, convergence and periodicity are studied both for a fishery model and for an SIS model with discrete time on-off control. Numerical simulations are performed to verify our results.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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