{"title":"模糊动力系统中的混沌行为:“模糊三次映射”","authors":"Jac-Kal Uk, K. Hoon","doi":"10.1109/AFSS.1996.583621","DOIUrl":null,"url":null,"abstract":"The objective of this paper is to demonstrate how fuzzy dynamic systems can show chaotic phenomena and chaotic dynamics similar to those found in a class of nonlinear systems. We found that the fuzzy chaotic dynamic model of a cubic map results in the same bifurcation diagrams, and that it shows stable equilibrium points, period-doubling and chaotic attractors.","PeriodicalId":197019,"journal":{"name":"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chaotic behaviors in fuzzy dynamic systems: \\\"fuzzy cubic map\\\"\",\"authors\":\"Jac-Kal Uk, K. Hoon\",\"doi\":\"10.1109/AFSS.1996.583621\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The objective of this paper is to demonstrate how fuzzy dynamic systems can show chaotic phenomena and chaotic dynamics similar to those found in a class of nonlinear systems. We found that the fuzzy chaotic dynamic model of a cubic map results in the same bifurcation diagrams, and that it shows stable equilibrium points, period-doubling and chaotic attractors.\",\"PeriodicalId\":197019,\"journal\":{\"name\":\"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-12-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/AFSS.1996.583621\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AFSS.1996.583621","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Chaotic behaviors in fuzzy dynamic systems: "fuzzy cubic map"
The objective of this paper is to demonstrate how fuzzy dynamic systems can show chaotic phenomena and chaotic dynamics similar to those found in a class of nonlinear systems. We found that the fuzzy chaotic dynamic model of a cubic map results in the same bifurcation diagrams, and that it shows stable equilibrium points, period-doubling and chaotic attractors.