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Solution of the basin problem for Hénon-like attractors

✍ Scribed by Michael Benedicks; Marcelo Viana


Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
526 KB
Volume
143
Category
Article
ISSN
0020-9910

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The basin of the strange attractors of s
✍ Yongluo Cao; Shin Kiriki 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 121 KB

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