A priori bounds for periodic solutions of a class of Hamiltonian systems

DOI10.1017/S0143385700009317zbMath0671.34036OpenAlexW1990124062MaRDI QIDQ3824714

Vieri Benci, Paul H. Rabinowitz

Publication date: 1988

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700009317

zbMATH Keywords

upper boundsestimatesaction integralHamiltonian systemslower bounds

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (2)

Periodic solutions on hypersurfaces and a result by C. Viterbo ⋮ Squeezing in Floer theory and refined Hofer-Zehnder capacities of sets near symplectic sub\-manifolds

Cites Work

• Existence of multiple normal mode trajectories on convex energy surfaces of even, classical Hamiltonian systems
• 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
• Periodic orbits for convex hamiltonian systems
• Periodische Bewegungen mechanischer Systeme
• Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces
• Shorter Notes: A Classical Variational Principle for Periodic Hamiltonian Trajectories
• Unnamed Item

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