Resonance capture in certain nearly Hamiltonian systems

DOI10.1016/0022-0396(75)90049-2zbMath0274.70014OpenAlexW2057665463MaRDI QIDQ2265264

James A. Murdock

Publication date: 1975

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90049-2

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear dynamics in mechanics (70K99) Celestial mechanics (70F15) Orbital mechanics (70M20)

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Structural stability on manifolds with boundary ⋮ Nested attractors near nonlinear centers ⋮ Some mathematical aspects of spin-orbit resonance ⋮ Some mathematical aspects of spin-orbit resonance. II ⋮ On nonconservative periodic systems close to two-dimensional Hamiltonian

Cites Work

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• Resonant forced non-linear oscillatory and rotary motions
• Introduction to Non-Linear Mechanics. (AM-11)