A \(\lambda\)-lemma for partially hyperbolic tori and the obstruction property

DOI10.1023/A:1007433819941zbMath0888.58045OpenAlexW404786712MaRDI QIDQ1375378

Jacky Cresson

Publication date: 14 January 1998

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

Full work available at URL: https://doi.org/10.1023/a:1007433819941

zbMATH Keywords

Hamiltonian systems\(\lambda\)-lemmahyperbolic toritopological instability

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Bifurcations and instability for nonlinear problems in mechanics (70K50) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dynamical systems with hyperbolic behavior (37D99)

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