{"title":"论Lü系统与Lorenz系统的非等价性","authors":"Xiangxing Kong, Z. Hou, Ning Kang","doi":"10.1109/IWCFTA.2010.79","DOIUrl":null,"url":null,"abstract":"The equivalence of the Lü system and the Lorenz system is studied in this paper. Based on the concept and techniques of the equilibrium point and resultant elimination, we prove that the Lü system with a set of chaotic parameters is not smoothly equivalent to the Lorenz system with any parameters, therefore prove the non-equivalence of Lü System and Lorenz System.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On the Non-equivalence of Lü System and Lorenz System\",\"authors\":\"Xiangxing Kong, Z. Hou, Ning Kang\",\"doi\":\"10.1109/IWCFTA.2010.79\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The equivalence of the Lü system and the Lorenz system is studied in this paper. Based on the concept and techniques of the equilibrium point and resultant elimination, we prove that the Lü system with a set of chaotic parameters is not smoothly equivalent to the Lorenz system with any parameters, therefore prove the non-equivalence of Lü System and Lorenz System.\",\"PeriodicalId\":157339,\"journal\":{\"name\":\"2010 International Workshop on Chaos-Fractal Theories and Applications\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-10-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"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.2010.79\",\"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.2010.79","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Non-equivalence of Lü System and Lorenz System
The equivalence of the Lü system and the Lorenz system is studied in this paper. Based on the concept and techniques of the equilibrium point and resultant elimination, we prove that the Lü system with a set of chaotic parameters is not smoothly equivalent to the Lorenz system with any parameters, therefore prove the non-equivalence of Lü System and Lorenz System.
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