Luo Xiao－shu, Fang Jin-qing, Wang Li-hu, Kong Ling-jiang, Jiang Feng
{"title":"A NEW STRATEGY OF CHAOS CONTROL AND A UNIFIED MECHANISM FOR SEVERAL KINDS OF CHAOS CONTROL METHODS","authors":"Luo Xiao－shu, Fang Jin-qing, Wang Li-hu, Kong Ling-jiang, Jiang Feng","doi":"10.1088/1004-423X/8/12/003","DOIUrl":null,"url":null,"abstract":"Based on a general principle of physics that a physical system is in the most stable state if it is of the lowest energy state, a new method for chaos control is proposed. A calculable generalized energy function in a nonlinear system is suggested for measuring control process. The Henon map and Lorenz system are taken as two typical examples to demonstrate the method. A series of stabilized periodic orbits as well as inverse sequence of chaotic bands are obtained. At the same time, a unified mechanism of physics for several kinds of current chaos control methods is studied using the idea proposed in this paper.","PeriodicalId":188146,"journal":{"name":"Acta Physica Sinica (overseas Edition)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Sinica (overseas Edition)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1004-423X/8/12/003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Based on a general principle of physics that a physical system is in the most stable state if it is of the lowest energy state, a new method for chaos control is proposed. A calculable generalized energy function in a nonlinear system is suggested for measuring control process. The Henon map and Lorenz system are taken as two typical examples to demonstrate the method. A series of stabilized periodic orbits as well as inverse sequence of chaotic bands are obtained. At the same time, a unified mechanism of physics for several kinds of current chaos control methods is studied using the idea proposed in this paper.
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