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Construction of Periodic Orbits and Chaos
引用本文:Zhang Yongdong Postdoctoral R&D Base,GF Securities Co.,Ltd.,Guangzhou 510075,P.R.China Liu Shutang & Liu Yongqing Department of Automatic Control Engineering,South China University of Technology,Guangzhou 510640,P.R.China. Construction of Periodic Orbits and Chaos[J]. 系统工程与电子技术(英文版), 2002, 13(1)
作者姓名:Zhang Yongdong Postdoctoral R&D Base  GF Securities Co.  Ltd.  Guangzhou 510075  P.R.China Liu Shutang & Liu Yongqing Department of Automatic Control Engineering  South China University of Technology  Guangzhou 510640  P.R.China
作者单位:Zhang Yongdong Postdoctoral R&D Base,GF Securities Co.,Ltd.,Guangzhou 510075,P.R.China Liu Shutang & Liu Yongqing Department of Automatic Control Engineering,South China University of Technology,Guangzhou 510640,P.R.China
基金项目:ThisprojectwassupportedbytheNationalNaturalScienceFoundationofChina,ScienceFoundationofGuangdongProvinceandShandongProvince .
摘    要:1 .INTRODUCTIONSincetheterm“chaos”wasfirstintroducedinLiandYorke’spaper [1 ]todescribethedynamicsofdiscretesystems,chaoshasbeenextensivelystudiedandthephenomenonofchaoshasbeenobservedindynamicalsys temsinmanydifferentfields.Awidelyacceptedmathematicaldefi…


Construction of Periodic Orbits and Chaos
Zhang Yongdong,Liu Shutang,Liu Yongqing. Construction of Periodic Orbits and Chaos[J]. Journal of Systems Engineering and Electronics, 2002, 13(1)
Authors:Zhang Yongdong  Liu Shutang  Liu Yongqing
Abstract:In contrast to the main stream of studying the chaotic behavior of a given map, constructing chaotic map has attracted much less attention. In this paper, we propose simple analytical method for constructing one dimensional continuous maps with certain specific periodic points.Further, we obtain results for the existence of chaotic phenomenon in the sense of Li and Yorke. Some examples are also analyzed using the proposed methods.
Keywords:Chaos   Chaotic map   Periodic orbits.
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