{"title":"一类非原元替换诱导的超空间系统","authors":"Wei Wang, Jian Li, Xin Zhao","doi":"10.1109/IWCFTA.2012.18","DOIUrl":null,"url":null,"abstract":"This paper considers the sub shifts induced by a class of non-primitive constant-length substitutions on two symbols. The authors give a sufficient condition for hyperspace system induced by such a sub shift to be Li-Yorke chaotic. Furthermore, the authors proof a sufficient condition for the hyperspace system mentioned above to have 0 topological entropy.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hyperspace System Induced by a Class of Non-primitive Substitutions\",\"authors\":\"Wei Wang, Jian Li, Xin Zhao\",\"doi\":\"10.1109/IWCFTA.2012.18\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers the sub shifts induced by a class of non-primitive constant-length substitutions on two symbols. The authors give a sufficient condition for hyperspace system induced by such a sub shift to be Li-Yorke chaotic. Furthermore, the authors proof a sufficient condition for the hyperspace system mentioned above to have 0 topological entropy.\",\"PeriodicalId\":354870,\"journal\":{\"name\":\"2012 Fifth International Workshop on Chaos-fractals Theories and Applications\",\"volume\":\"1 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.2012.18\",\"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.2012.18","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hyperspace System Induced by a Class of Non-primitive Substitutions
This paper considers the sub shifts induced by a class of non-primitive constant-length substitutions on two symbols. The authors give a sufficient condition for hyperspace system induced by such a sub shift to be Li-Yorke chaotic. Furthermore, the authors proof a sufficient condition for the hyperspace system mentioned above to have 0 topological entropy.
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