{"title":"确定性非线性系统的复杂动力学","authors":"E. Steur, H. Nijmeijer","doi":"10.1142/9789813239609_0003","DOIUrl":null,"url":null,"abstract":"We give an introduction to the analysis of the dynamics of deterministic nonlinear systems from a systems and control point of view. In particular, we discuss the stabilizing or destabilizing effect of feedback interconnections in nonlinear dynamical systems. With the help of this machinery we explain two types of complex collective dynamics in networks of nonlinear systems.","PeriodicalId":38342,"journal":{"name":"复杂系统与复杂性科学","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Complex dynamics of deterministic nonlinear systems\",\"authors\":\"E. Steur, H. Nijmeijer\",\"doi\":\"10.1142/9789813239609_0003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give an introduction to the analysis of the dynamics of deterministic nonlinear systems from a systems and control point of view. In particular, we discuss the stabilizing or destabilizing effect of feedback interconnections in nonlinear dynamical systems. With the help of this machinery we explain two types of complex collective dynamics in networks of nonlinear systems.\",\"PeriodicalId\":38342,\"journal\":{\"name\":\"复杂系统与复杂性科学\",\"volume\":\"11 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"复杂系统与复杂性科学\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.1142/9789813239609_0003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"复杂系统与复杂性科学","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.1142/9789813239609_0003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
Complex dynamics of deterministic nonlinear systems
We give an introduction to the analysis of the dynamics of deterministic nonlinear systems from a systems and control point of view. In particular, we discuss the stabilizing or destabilizing effect of feedback interconnections in nonlinear dynamical systems. With the help of this machinery we explain two types of complex collective dynamics in networks of nonlinear systems.
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