Multiplicity of periodic solution with prescribed energy to singular dynamical systems

DOI10.1016/S0294-1449(16)30224-4zbMath0771.34035MaRDI QIDQ1803495

Susanna Terracini

Publication date: 29 June 1993

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_1992__9_6_597_0

zbMATH Keywords

multiplicityperiodic solutionscritical point theorysingular Hamiltonian systemssingular potentialshomotopical indexnoncollision solutions

Mathematics Subject Classification ID

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

Related Items (8)

Nonconstant periodic solutions with any fixed energy for singular Hamiltonian systems ⋮ The fixed energy problem for a class of nonconvex singular Hamiltonian systems ⋮ Mountain pass lemma and new periodic solutions of the singular second order Hamiltonian system ⋮ New periodic solutions for the singular Hamiltonian system ⋮ New periodic solutions for a class of singular Hamiltonian systems ⋮ Infinitely many non-constant periodic solutions with negative fixed energy for Hamiltonian systems ⋮ Periodic solutions to some \(N\)-body type problems: The fixed energy case ⋮ New periodic solutions of singular Hamiltonian systems with fixed energies

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