Chaotic sets of continuous and discontinuous maps
β Scribed by Xin-Chu Fu; Zhan-He Chen; Hongjun Gao; Chang-Pin Li; Zeng-Rong Liu
- Book ID
- 108216419
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 607 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Let f be a continuous map of a tree X into itself. Let Q(j) denote the set of nonwandering points for f. In this paper we show the following two results: (1) if C?(f) is finite then Q(f) is the set of periodic points of f, (2) Q(f) IS contained in the closure of the set of eventually periodic points
High-dimensional HΓ©non-like maps have many applications in the research of spatial chaos and traveling waves of extended systems. Meanwhile, they are of great interest in their own right. The aim of this paper is, by applying the implicit function theorem, to show for high-dimensional HΓ©non-like map