{"title":"一个改进的SprottE模型的时间反馈控制","authors":"Yizhong Liu","doi":"10.1504/ijdsde.2020.10030020","DOIUrl":null,"url":null,"abstract":"This paper is concerned with chaos control for a modified Sprott E system. Applying time-delayed feedback control method, we establish some new conditions to control chaotic behaviour of modified Sprott E system. With the aid of local stability analysis, we theoretically prove the occurrences of Hopf bifurcation. Computer simulations are implemented to support analytical results. Finally, a brief conclusion is included.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.2000,"publicationDate":"2020-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Time feedback control in a modified Sprott E model\",\"authors\":\"Yizhong Liu\",\"doi\":\"10.1504/ijdsde.2020.10030020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with chaos control for a modified Sprott E system. Applying time-delayed feedback control method, we establish some new conditions to control chaotic behaviour of modified Sprott E system. With the aid of local stability analysis, we theoretically prove the occurrences of Hopf bifurcation. Computer simulations are implemented to support analytical results. Finally, a brief conclusion is included.\",\"PeriodicalId\":43101,\"journal\":{\"name\":\"International Journal of Dynamical Systems and Differential Equations\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2020-06-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Dynamical Systems and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/ijdsde.2020.10030020\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Dynamical Systems and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijdsde.2020.10030020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Time feedback control in a modified Sprott E model
This paper is concerned with chaos control for a modified Sprott E system. Applying time-delayed feedback control method, we establish some new conditions to control chaotic behaviour of modified Sprott E system. With the aid of local stability analysis, we theoretically prove the occurrences of Hopf bifurcation. Computer simulations are implemented to support analytical results. Finally, a brief conclusion is included.
期刊介绍:
IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.