CONSTRUCTION OF WHISKERS FOR THE QUASIPERIODICALLY FORCED PENDULUM

DOI10.1142/S0129055X07003127zbMath1142.70011arXivmath-ph/0703084OpenAlexW2129910973MaRDI QIDQ3502907

Mikko Stenlund

Publication date: 20 May 2008

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

Full work available at URL: https://arxiv.org/abs/math-ph/0703084

zbMATH Keywords

perturbation theoryKAM tori

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Dynamical systems in classical and celestial mechanics (37N05) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Related Items (2)

The KAM theorem and renormalization group ⋮ An expansion of the homoclinic splitting matrix for the rapidly, quasiperiodically, forced pendulum

Cites Work

• Unnamed Item
• Unnamed Item
• KAM theorem and quantum field theory
• Twistless KAM tori
• Convergent series expansions for quasi-periodic motions
• On the conservation of hyperbolic invariant tori for Hamiltonian systems
• Biasymptotic solutions of perturbed integrable Hamiltonian systems
• TWISTLESS KAM TORI, QUASI FLAT HOMOCLINIC INTERSECTIONS, AND OTHER CANCELLATIONS IN THE PERTURBATION SERIES OF CERTAIN COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS: A REVIEW
• Whiskered tori with prefixed frequencies and Lyapunov spectrum
• METHODS FOR THE ANALYSIS OF THE LINDSTEDT SERIES FOR KAM TORI AND RENORMALIZABILITY IN CLASSICAL MECHANICS: A review with Some Applications
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

This page was built for publication: CONSTRUCTION OF WHISKERS FOR THE QUASIPERIODICALLY FORCED PENDULUM