Oscillators in resonance

DOI10.1016/S0093-6413(99)00072-5zbMath0958.70017MaRDI QIDQ1970159

Antonio Elipe, André Deprit

Publication date: 25 July 2000

Published in: Mechanics Research Communications (Search for Journal in Brave)

zbMATH Keywords

chaosdynamical systemsharmonic oscillatorsresonancesperturbed Hamiltoniangalactic dynamicsunstable equilibriaweak perturbationsasymptotic homoclinic solutionsgeneralized Lissajous variablesgeometric characterization of reduced phase spaceperturbed elliptic oscillators

Mathematics Subject Classification ID

Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) Dynamical systems in classical and celestial mechanics (37N05) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (10)

Escapes in Hamiltonian systems with multiple exit channels. II ⋮ Periodic solutions of a galactic potential ⋮ A note about certain arbitrariness in the solution of the homological equation in Deprit's method ⋮ Poisson and symplectic reductions of 4–DOF isotropic oscillators. The van der Waals system as benchmark ⋮ Periodic solutions for differential systems in \(\mathbb{R}^3\) and \(\mathbb{R}^4\) ⋮ New families of periodic orbits for a galactic potential ⋮ Quadratic Hamiltonians on non-symmetric Poisson structures ⋮ Extended Lissajous variables for oscillators in resonance. ⋮ Escapes in Hamiltonian systems with multiple exit channels. I ⋮ Oscillators in resonance \(p\):\(q\):\(r\)

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