Singularities of integrable and near-integrable Hamiltonian systems

DOI10.1007/BF02679123zbMath0869.58022OpenAlexW1965043874MaRDI QIDQ677009

T. Bau, Nguyen Tien Zung

Publication date: 1997

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02679123

zbMATH Keywords

KAM theorytopological entropynonintegrabilityintegrable Hamiltonian systemshomo-/heteroclinic orbitsnear-integrable systemsPoincaré-Melnikov function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Entropy in general topology (54C70) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Local and nonlocal bifurcation theory for dynamical systems (37G99) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (4)

Structurally stable nondegenerate singularities of integrable systems ⋮ Foliations of isonergy surfaces and singularities of curves ⋮ Unnamed Item ⋮ Hidden toric symmetry and structural stability of singularities in integrable systems

Cites Work

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• Horseshoes for autonomous Hamiltonian systems using the Melnikov integral
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