On the role of high order resonances in normal forms and in separatrix splitting

DOI10.1016/S0167-2789(96)00155-8zbMath0890.58084OpenAlexW1987343383MaRDI QIDQ678329

Antonio Giorgilli, Alessandro Morbidelli

Publication date: 16 April 1997

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(96)00155-8

zbMATH Keywords

normal formsseparatrix splittinghigh order resonancesresonant perturbed systems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Normal forms for dynamical systems (37G05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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