On Energy Surfaces and the Resonance Web

DOI10.1137/030600106zbMath1147.37346arXivmath/9611217OpenAlexW1975339799MaRDI QIDQ4653129

Anna Litvak-Hinenzon, Vered Rom-Kedar

Publication date: 28 February 2005

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9611217

zbMATH Keywords

near-integrable Hamiltoniansparabolic resonances

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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Umbilical torus bifurcations in Hamiltonian systems ⋮ Quasi-periodic Hamiltonian pitchfork bifurcation in a phenomenological model with 3 degrees of freedom ⋮ Foliations of isonergy surfaces and singularities of curves ⋮ On the structure of Hamiltonian impact systems

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