Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems
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Publication:1073248
DOI10.1016/S0294-1449(16)30420-6zbMath0588.35007OpenAlexW271957291MaRDI QIDQ1073248
Publication date: 1984
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_1984__1_5_401_0
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Periodic solutions of Hamiltonian system on a prescribed energy surface
- On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface
- Normal modes of a Lagrangian system constrained in a potential well
- Normal modes for nonlinear Hamiltonian systems
- Periodische Bewegungen mechanischer Systeme
- Periodic Solutions of Hamiltonian Systems: A Survey
- Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces
- Periodic orbits near an equilibrium and a theorem by Alan Weinstein
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