Destruction of invariant tori in pendulum-type equations

DOI10.1006/JDEQ.1998.3413zbMath0909.34039OpenAlexW2093022793MaRDI QIDQ1265118

Hai Huang

Publication date: 7 April 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3413

zbMATH Keywords

Hamiltonianpendulum-type equationinvariant torusLiouville numbernonexistence of invariant tori

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (2)

Generic existence of invariant Cantori in pendulum-type equations ⋮ Lagrange stability for impulsive pendulum-type equations

Cites Work

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• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Invariant tori and Lagrange stability of pendulum-type equations
• Mather sets for plane Hamiltonian systems
• Stable and Random Motions in Dynamical Systems
• Recent Developments in the Theory of Hamiltonian Systems
• KAM theory for particles in periodic potentials
• Quasi-periodic solutions of nonlinear elliptic partial differential equations
• Differential Topology
• Destruction of invariant circles
• Boundedness of Solutions for Quasiperiodic Potentials

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