Non-Hamiltonian Perturbations of Integrable Systems and Resonance Trapping

DOI10.1137/0152068zbMath0761.70012OpenAlexW1995765486MaRDI QIDQ4018872

Michael Ghil, Gershon Wolansky

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1137/0152068

zbMATH Keywords

averagingJupiterasteroidrestricted circular three-body problemKeplerian orbitsnonconservative perturbationsresonant manifoldnoncanonical transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Perturbations of ordinary differential equations (34D10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Celestial mechanics (70F15)

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