Stable and unstable manifolds in a zone of instability

DOI10.1063/1.530511zbMath0805.58040OpenAlexW2007482908MaRDI QIDQ4314224

Kiyotaka Tanikawa, Yoshihiro Yamaguchi

Publication date: 20 November 1994

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

Full work available at URL: https://doi.org/10.1063/1.530511

zbMATH Keywords

instabilityheteroclinic pointshomoclinic pointsBirkhoff's twist map theorem

Mathematics Subject Classification ID

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

Related Items (1)

Stable and unstable manifolds in a zone of instability. II

Cites Work

• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Stable and unstable manifolds asymptotic to the outermost KAM curve
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• On Morse-Smale dynamical systems
• Birkhoff periodic orbits for twist maps with the graph intersection property

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