Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications
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Publication:2637639
DOI10.1016/j.jde.2013.07.034zbMath1321.37060OpenAlexW1990751482MaRDI QIDQ2637639
Publication date: 13 February 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2013.07.034
Hamiltonian systemsMaslov-type indexclosed characteristicresonance identitysymmetric compact convex hypersurface
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Cites Work
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- Stability of symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\) under a pinching condition
- Multiplicity of closed characteristics on symmetric convex hypersurfaces in \(\mathbb{R}^{2n}\)
- Closed trajectories on symmetric convex Hamiltonian energy surfaces
- Une théorie de Morse pour les systèmes hamiltoniens convexes
- On the generic existence of periodic orbits in Hamiltonian dynamics
- Symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb{R}^{2n}\)
- Stability of closed characteristics on compact convex hypersurfaces in \(\mathbb R^{6}\)
- Convex Hamiltonian energy surfaces and their periodic trajectories
- On the average indices of closed geodesics
- Critical point theory and Hamiltonian systems
- Periodic orbits for convex hamiltonian systems
- Bott formula of the Maslov-type index theory
- Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics
- Closed characteristics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\)
- Infinite dimensional Morse theory and multiple solution problems
- Index theory for symplectic paths with applications
- Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces
- Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres
- On differentiable functions with isolated critical points
- The existence of two closed geodesics on every Finsler 2-sphere
- Homological Resonances for Hamiltonian Diffeomorphisms and Reeb Flows
- Equivariant Morse Theory for Starshaped Hamiltonian Systems
- Periodic solutions of hamiltonian systems
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