A class of periodic orbits in classical mechanics

DOI10.1016/0022-0396(87)90042-8zbMath0616.34040OpenAlexW2002208890MaRDI QIDQ1821247

Daniel C. Offin

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90042-8

zbMATH Keywords

bifurcationcritical pointspotential functionsecond order differential equationsecond-order Hamiltonian system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05)

Related Items

Linking and closed orbits, Calculations of periodic trajectories for the Hénon–Heiles Hamiltonian using the monodromy method, New periodic solutions with a prescribed energy for a class of Hamiltonian systems, Closed characteristics on non-compact hypersurfaces in \(\mathbb {R}^{2n}\), New periodic solutions of singular Hamiltonian systems with fixed energies

Cites Work

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• Une théorie de Morse pour les systèmes hamiltoniens convexes
• Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems
• Isolated unstable periodic orbits
• Hyperbolic periodic orbits
• Periodic orbits for convex hamiltonian systems
• On the ultimate behavior of orbits with respect to an unstable critical point. I: Oscillating, asymptotic, and capture orbits
• Periodische Bewegungen mechanischer Systeme
• On the generalization of a theorem of A. Liapounoff
• Periodic Solutions of Hamiltonian Systems: A Survey
• Morse Theory. (AM-51)
• Shorter Notes: A Classical Variational Principle for Periodic Hamiltonian Trajectories