{"title":"复Bernoulli-shift规则的全局吸引子与混沌","authors":"Weifeng Jin, F. Chen","doi":"10.1109/IWCFTA.2010.69","DOIUrl":null,"url":null,"abstract":"This paper provides a symbolic dynamics perspective to Chua’s topologically-distinct complex Bernoulli-shift rules 18, 122, 126 and 146. Through this work, a rigorous analysis of their global attractors is conducted in the space of bi-infinite symbolic sequences. Based on the concepts of blocking transformation and releasing transformation, their chaotic dynamics is further uncovered, including topological mixing and positive topological entropy.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Global Attractors and Chaos of Complex Bernoulli-shift Rules\",\"authors\":\"Weifeng Jin, F. Chen\",\"doi\":\"10.1109/IWCFTA.2010.69\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper provides a symbolic dynamics perspective to Chua’s topologically-distinct complex Bernoulli-shift rules 18, 122, 126 and 146. Through this work, a rigorous analysis of their global attractors is conducted in the space of bi-infinite symbolic sequences. Based on the concepts of blocking transformation and releasing transformation, their chaotic dynamics is further uncovered, including topological mixing and positive topological entropy.\",\"PeriodicalId\":157339,\"journal\":{\"name\":\"2010 International Workshop on Chaos-Fractal Theories and Applications\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-10-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Workshop on Chaos-Fractal Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2010.69\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Workshop on Chaos-Fractal Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2010.69","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Global Attractors and Chaos of Complex Bernoulli-shift Rules
This paper provides a symbolic dynamics perspective to Chua’s topologically-distinct complex Bernoulli-shift rules 18, 122, 126 and 146. Through this work, a rigorous analysis of their global attractors is conducted in the space of bi-infinite symbolic sequences. Based on the concepts of blocking transformation and releasing transformation, their chaotic dynamics is further uncovered, including topological mixing and positive topological entropy.
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