The nonwandering set of some Hénon map
✍ Scribed by Yongluo Cao
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 514 KB
- Volume
- 44
- Category
- Article
- ISSN
- 1001-6538
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📜 SIMILAR VOLUMES
We consider the H enon maps. For jj is small and `0, there is a positive measure set of a-values near 2, the corresponding map exhibits a strange attractor K Y . In this paper, we construct a trapping region which contains K Y and prove this trapping is contained in the basin of K Y . Furthermore we
High-dimensional Hénon-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 Hénon-like map
In this paper we study dynamical properties of the area preserving H e enon map, as a discrete version of open Hamiltonian systems, that can exhibit chaotic scattering. Exploiting its geometric properties we locate the exit and entry sets, i.e. regions through which any forward, respectively backwar