Relative Morse index and multiple brake orbits of asymptotically linear Hamiltonian systems in the presence of symmetries

DOI10.1016/J.JDE.2008.04.020zbMath1152.58007OpenAlexW2095327187MaRDI QIDQ935127

Duanzhi Zhang

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

zbMATH Keywords

Hamiltonian systemMaslov-type indexbrake orbitrelative Morse index

Mathematics Subject Classification ID

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

• Critical point theorems for indefinite functionals
• 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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