The compact category and multiple periodic solutions of Hamiltonian systems on symmetric starshaped energy surfaces
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Publication:811530
DOI10.1007/BF01444733zbMath0735.58029MaRDI QIDQ811530
Mónica Clapp, Thomas J. Bartsch
Publication date: 1992
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/164974
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)
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Cites Work
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- Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries
- Transformation groups
- A proof of Weinstein's conjecture in \(\mathbb R^{2n}\)
- Periodic solutions of Hamiltonian systems with superquadratic potential
- An index theory and existence of multiple brake orbits for star-shaped Hamiltonian systems
- On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface
- Critical point theorems for indefinite functionals
- Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
- Periodic orbits for convex hamiltonian systems
- Bifurcation theory for symmetric potential operators and the equivariant cup-length
- Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces
- Periodic solutions near equilibria of symmetric Hamiltonian systems
- A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equations
- A relative category and applications to critical point theory for strongly indefinite functionals