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The set of recurrent points of a continuous self-map on an interval and strong chaos
Lidong Wang,Gongfu Liao,Zhenyan Chu,Xiaodong Duan 한국전산응용수학회 2004 Journal of applied mathematics & informatics Vol.14 No.-
In this paper, we discuss a continuous self-map of an interval and the existence of an uncountable strongly chaotic set. It is proved that if a continuous self-map of an interval has positive topological entropy, then it has an uncountable strongly chaotic set in which each point is recurrent, but is not almost periodic.
THE SET OF RECURRENT POINTS OF A CONTINUOUS SELF-MAP ON AN INTERVAL AND STRONG CHAOS
Wang, Lidong,Liao, Gongfu,Chu, Zhenyan,Duan, Xiaodong 한국전산응용수학회 2004 Journal of applied mathematics & informatics Vol.14 No.1
In this paper, we discuss a continuous self-map of an interval and the existence of an uncountable strongly chaotic set. It is proved that if a continuous self-map of an interval has positive topological entropy, then it has an uncountable strongly chaotic set in which each point is recurrent, but is not almost periodic.