Relative Morse index and multiple brake orbits of asymptotically linear Hamiltonian systems in the presence of symmetries
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Publication:935127
DOI10.1016/J.JDE.2008.04.020zbMath1152.58007OpenAlexW2095327187MaRDI QIDQ935127
Publication date: 31 July 2008
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2008.04.020
Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
Related Items (5)
Multiple solutions for generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions ⋮ Some progress on minimal period problems in reversible semi-positive Hamiltonian systems ⋮ Multiplicity of symmetric brake orbits of asymptotically linear symmetric reversible Hamiltonian systems ⋮ Multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Sturm-Liouville boundary conditions ⋮ Minimal period solutions in asymptotically linear Hamiltonian system with symmetries
Cites Work
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- The Maslov index: A functional analytical definition and the spectral flow formula
- The Maslov index for paths
- Nontrivial periodic solutions for strong resonance Hamiltonian systems
- Relative Morse index and its application to Hamiltonian systems in the presence of symmetries
- Maslov-type index theory for symplectic paths and spectral flow. II
- Maslov-type index theory for symplectic paths and spectral flow. I
- Maslov-type index and brake orbits in nonlinear Hamiltonian systems
- Maslov type index theory for linear Hamiltonian systems with Bolza boundary value conditions and multiple solutions for nonlinear Hamiltonian systems
- Multiple brake orbits in bounded convex symmetric domains
- Periodische Bewegungen mechanischer Systeme
- On the maslov index
- On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
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