Perturbations of lower dimensional tori in the resonant zone for reversible systems

DOI10.1006/jmaa.2000.7165zbMath0979.34039OpenAlexW2006480927MaRDI QIDQ5927584

Bao She Wei

Publication date: 3 February 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7165

zbMATH Keywords

disintegration of resonant invariant toriKAM iteration methodresonant surfaceresonant torireversible systems

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Variable structure systems (93B12) Perturbations of ordinary differential equations (34D10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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Cites Work

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• Reversible systems
• Perturbations of lower dimensional tori for Hamiltonian systems
• Unfoldings of quasi-periodic tori in reversible systems
• Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems
• Convergent series expansions for quasi-periodic motions
• Stable and Random Motions in Dynamical Systems
• The iteration-approximation decoupling in the reversible KAM theory