{"title":"简化统一系统的动力学","authors":"Ke-xin Sun, Xia Wang, S. Qiu","doi":"10.1109/IWCFTA.2009.58","DOIUrl":null,"url":null,"abstract":"A Simplified unified system with one bifurcation parameter is investigated by detailed theoretical analysis as well as dynamic simulation. Some basic dynamical properties, such as the largest Lyapunov exponent, fractal dimension, bifurcations, and routes to chaos are studied. The results show that the simplified unified system has complex dynamics with interesting characteristics.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Dynamics of a Simplified Unified System\",\"authors\":\"Ke-xin Sun, Xia Wang, S. Qiu\",\"doi\":\"10.1109/IWCFTA.2009.58\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A Simplified unified system with one bifurcation parameter is investigated by detailed theoretical analysis as well as dynamic simulation. Some basic dynamical properties, such as the largest Lyapunov exponent, fractal dimension, bifurcations, and routes to chaos are studied. The results show that the simplified unified system has complex dynamics with interesting characteristics.\",\"PeriodicalId\":279256,\"journal\":{\"name\":\"2009 International Workshop on Chaos-Fractals Theories and Applications\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Workshop on Chaos-Fractals Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2009.58\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Workshop on Chaos-Fractals Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2009.58","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Simplified unified system with one bifurcation parameter is investigated by detailed theoretical analysis as well as dynamic simulation. Some basic dynamical properties, such as the largest Lyapunov exponent, fractal dimension, bifurcations, and routes to chaos are studied. The results show that the simplified unified system has complex dynamics with interesting characteristics.