Euler-Poisson equations and existence of quasi-periodic motions of heavy tops

DOI10.1016/0167-2789(95)00259-6zbMath0900.70133OpenAlexW1996808430MaRDI QIDQ1910606

Nicholas D. Kazarinoff, Wen Dong Chang

Publication date: 19 March 1996

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00259-6

zbMATH Keywords

extended Lyapunov center theoremMoser-Weinstein theoremmultiple reversibility

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Cites Work

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• Reversible systems
• Singularities and groups in bifurcation theory. Volume II
• Normal modes for nonlinear Hamiltonian systems
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Euler-Poisson Equations on Lie Algebras and the N-Dimensional Heavy Rigid Body
• Time-Reversibility and Particle Sedimentation