Stable and unstable manifolds in a zone of instability. II

DOI10.1063/1.530984zbMath0844.58047OpenAlexW4242986174MaRDI QIDQ4873518

Yoshihiro Yamaguchi, Kiyotaka Tanikawa

Publication date: 29 August 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530984

zbMATH Keywords

heteroclinic cyclestable manifoldsunstable manifoldsarea-preserving twist mapBirkhoff periodic pointBirkhoff saddle

Mathematics Subject Classification ID

Ergodic theory (37A99) Stability theory for smooth dynamical systems (37C75)

Related Items (1)

On the appearance order of homoclinic and heteroclinic intersections in a family of dissipative maps of the plane

Cites Work

• Stable and unstable manifolds asymptotic to the outermost KAM curve
• Proof of the Poincaré-Birkhoff fixed point theorem
• On Morse-Smale dynamical systems
• Periodic points and rotation numbers for area preserving diffeomorphisms of the plane
• Stable and unstable manifolds in a zone of instability

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