{"title":"三维离散hsamnon映射的反同步控制与镇定","authors":"Yin Li, Chun-long Zheng","doi":"10.1109/IWCFTA.2012.53","DOIUrl":null,"url":null,"abstract":"In this paper, we study general anti-synchronization control and stabilization of 3-dimension discrete h-enon map by symbolic computation system Maple and control method, the 3D generalized H-enon map is stabilized to fixed points. In stabilizing unstable discrete systems to a fixed point or high-period orbit process, we require no a prior analytical knowledge of the system under investigation, nor any additional control parameters. And we also use general anti-synchronization scheme to illustrate the controllable scheme of 3D H-enon maps. Numeric simulations are used to verify the effectiveness of our scheme.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Anti-Synchronization Control and Stabilization of 3-dimension Discrete Hénon Map\",\"authors\":\"Yin Li, Chun-long Zheng\",\"doi\":\"10.1109/IWCFTA.2012.53\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study general anti-synchronization control and stabilization of 3-dimension discrete h-enon map by symbolic computation system Maple and control method, the 3D generalized H-enon map is stabilized to fixed points. In stabilizing unstable discrete systems to a fixed point or high-period orbit process, we require no a prior analytical knowledge of the system under investigation, nor any additional control parameters. And we also use general anti-synchronization scheme to illustrate the controllable scheme of 3D H-enon maps. Numeric simulations are used to verify the effectiveness of our scheme.\",\"PeriodicalId\":354870,\"journal\":{\"name\":\"2012 Fifth International Workshop on Chaos-fractals Theories and Applications\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Fifth International Workshop on Chaos-fractals Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2012.53\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2012.53","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Anti-Synchronization Control and Stabilization of 3-dimension Discrete Hénon Map
In this paper, we study general anti-synchronization control and stabilization of 3-dimension discrete h-enon map by symbolic computation system Maple and control method, the 3D generalized H-enon map is stabilized to fixed points. In stabilizing unstable discrete systems to a fixed point or high-period orbit process, we require no a prior analytical knowledge of the system under investigation, nor any additional control parameters. And we also use general anti-synchronization scheme to illustrate the controllable scheme of 3D H-enon maps. Numeric simulations are used to verify the effectiveness of our scheme.