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On a homoclinic origin of Hénon-like maps

✍ Scribed by S. V. Gonchenko; V. S. Gonchenko; L. P. Shilnikov


Book ID
111469556
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
637 KB
Volume
15
Category
Article
ISSN
1560-3547

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Chaotic Invariant Sets of High-Dimension
✍ Wen-Xin Qin 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 97 KB

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