Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries
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Publication:1068567
DOI10.1016/S0294-1449(16)30423-1zbMath0582.70019MaRDI QIDQ1068567
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_4_285_0
existenceperiodic solutionssufficient conditionsymmetric periodic solutionHamiltonian systems with N degrees of freedomsymmetric, starshaped energy surface
Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
Related Items (25)
Periodic orbits of Hamiltonian systems on symmetric positive-type hypersurfaces ⋮ Closed characteristics on asymmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) and the corresponding pinching conditions ⋮ Non-hyperbolic \(P\)-invariant closed characteristics on partially symmetric compact convex hypersurfaces ⋮ An index theory and existence of multiple brake orbits for star-shaped Hamiltonian systems ⋮ A note on the existence of multiple brake orbits ⋮ The brake orbits of Hamiltonian systems on positive-type hypersurfaces ⋮ Stability of symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\) under a pinching condition ⋮ Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in \(\mathbb R^{2n}\) ⋮ A dichotomy result for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf{R}^{2n}\) ⋮ Lyapunov center theorem on rotating periodic orbits for Hamiltonian systems ⋮ Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond ⋮ Multiple subharmonic solutions in Hamiltonian system with symmetries ⋮ A Bangert-Hingston theorem for starshaped hypersurfaces ⋮ Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Starshaped sets ⋮ Stable P-symmetric closed characteristics on partially symmetric compact convex hypersurfaces ⋮ On the number of P-invariant closed characteristics on partially symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\) ⋮ Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in \(\mathbf{R}^{4}\) ⋮ Closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb R^{2n}\) ⋮ Multiple P-cyclic symmetric closed characteristics on compact convex P-cyclic symmetric hypersurfaces in \(\mathbb{R}^{2n} \) ⋮ Resonance identities for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf R^{2n}\) ⋮ Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces ⋮ Multiplicity of closed Reeb orbits on dynamically convex \(\mathbb{R}P^{2n-1} \) for \(n\geq2\) ⋮ Nonlocal generalization of the Lyapunov theorem ⋮ The compact category and multiple periodic solutions of Hamiltonian systems on symmetric starshaped energy surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of multiple normal mode trajectories on convex energy surfaces of even, classical Hamiltonian systems
- On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface
- Solutions of minimal period for a class of convex Hamiltonian systems
- Dual variational methods in critical point theory and applications
- Normal modes for nonlinear Hamiltonian systems
- Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces
- On subharmonic solutions of hamiltonian systems
- A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equations
- Periodic orbits near an equilibrium and a theorem by Alan Weinstein
- Periodic solutions of hamiltonian systems
- On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
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