The set of recurrent points of a continuous self-map on an interval and strong chaos
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- Wang, L., Liao, G., Chu, Z. et al. JAMC (2004) 14: 277. doi:10.1007/BF02936114
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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.