Periodic solutions of first order singular hamiltonian systems

DOI10.1016/0362-546X(94)00310-EzbMath0856.70011OpenAlexW2041796289MaRDI QIDQ4861586

Kazunaga Tanaka

Publication date: 17 February 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00310-e

zbMATH Keywords

variational methodsminimax arguments

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (6)

Periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type ⋮ Global continua of periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type ⋮ Periodic solutions of the \(N\)-vortex Hamiltonian system in planar domains ⋮ Generalized solutions of first order singular Hamiltonian systems ⋮ Generalized solutions of first-order singular Hamiltonian systems with fixed energy ⋮ Closed characteristics on non-compact hypersurfaces in \(\mathbb {R}^{2n}\)

Cites Work

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• Critical points with lack of compactness and singular dynamical systems
• Periodic solutions of singular Lagrangian systems
• Collision and non-collision solutions for a class of Keplerian-like dynamical systems
• A minimax method for a class of Hamiltonian systems with singular potentials
• Non-collision solutions for a second order singular Hamiltonian system with weak force
• A prescribed energy problem for a singular Hamiltonian system with a weak force
• Periodic solutions of a class of singular Hamiltonian systems
• Conservative Dynamical Systems Involving Strong Forces

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