Stable and unstable manifolds asymptotic to the outermost KAM curve

DOI10.1016/0022-247X(92)90313-3zbMath0777.58022MaRDI QIDQ1191809

Kiyotaka Tanikawa, Yoshihiro Yamaguchi

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

homoclinic pointstable manifoldsunstable manifoldshyperbolic fixed pointselliptic fixed pointsKolmogorov-Arnold-Moser curve

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Stability theory for smooth dynamical systems (37C75)

Related Items (2)

Stable and unstable manifolds in a zone of instability ⋮ Stable and unstable manifolds in a zone of instability. II

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A piecewise linear model for the zones of instability of an area- preserving map
• Non-existence of invariant circles
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

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