A proof of existence of whiskered tori with quasi flat homoclinic intersections in a class of almost integrable hamiltonian systems

DOI10.1515/form.1995.7.709zbMath0841.58038OpenAlexW2025480781MaRDI QIDQ4856982

Guido Gentile

Publication date: 2 July 1996

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186444

zbMATH Keywords

existencewhiskered torialmost integrable Hamiltonian systemsquasi flat homoclinic intersections

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Stability theory for smooth dynamical systems (37C75)

Related Items (6)

Compensations in small divisor problems ⋮ Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems ⋮ Dynamics around simple resonant tori in nearly integrable Hamiltonian systems ⋮ A functional analysis approach to Arnold diffusion ⋮ An expansion of the homoclinic splitting matrix for the rapidly, quasiperiodically, forced pendulum ⋮ A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems

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