{"title":"三维混沌振荡器的稳定性和混沌行为","authors":"Zhengping Shi, Tong-jun He","doi":"10.1109/IWCFTA.2010.87","DOIUrl":null,"url":null,"abstract":"The main aim of this paper is to analyze a 3D chaotic oscillator's stability and chaos behavior by the theoretical and numerical methods to obtain a sufficient and necessary condition of the 3D chaotic oscillator's stability and a necessary condition to generate chaos. A detail numerical example and a circuit experimental simulation verify the correctness of the mentioned two conditions above.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"62 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A 3D Chaotic Oscillator's Stability and Chaos Behavior\",\"authors\":\"Zhengping Shi, Tong-jun He\",\"doi\":\"10.1109/IWCFTA.2010.87\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main aim of this paper is to analyze a 3D chaotic oscillator's stability and chaos behavior by the theoretical and numerical methods to obtain a sufficient and necessary condition of the 3D chaotic oscillator's stability and a necessary condition to generate chaos. A detail numerical example and a circuit experimental simulation verify the correctness of the mentioned two conditions above.\",\"PeriodicalId\":157339,\"journal\":{\"name\":\"2010 International Workshop on Chaos-Fractal Theories and Applications\",\"volume\":\"62 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-12-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"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.2010.87\",\"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.2010.87","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A 3D Chaotic Oscillator's Stability and Chaos Behavior
The main aim of this paper is to analyze a 3D chaotic oscillator's stability and chaos behavior by the theoretical and numerical methods to obtain a sufficient and necessary condition of the 3D chaotic oscillator's stability and a necessary condition to generate chaos. A detail numerical example and a circuit experimental simulation verify the correctness of the mentioned two conditions above.