Dual Morse index estimates for periodic solutions of Hamiltonian systems in some nonconvex superquadratic cases

DOI10.1016/0362-546X(91)90143-OzbMath0779.34033MaRDI QIDQ4008850

Mario Girardi, Michele Matzeu

Publication date: 27 September 1992

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

zbMATH Keywords

periodic solutionsHamiltonian systemsMorse indexGalerkin schemesuperquadraticnon-convex cases

Mathematics Subject Classification ID

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

Related Items (12)

Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems ⋮ Stability of subharmonic solutions of first-order Hamiltonian systems with anisotropic growth ⋮ The minimal period problem for nonconvex even second order Hamiltonian systems ⋮ Subharmonic solutions of Hamiltonian systems and the Maslov-type index theory ⋮ Essential critical points of linking type and solutions of minimal period to superquadratic Hamiltonian systems ⋮ The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems ⋮ Periodic solutions of delay differential systems via Hamiltonian systems ⋮ The stability of subharmonic solutions for Hamiltonian systems ⋮ Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems ⋮ Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems ⋮ Solutions of minimal period for even classical Hamiltonian systems ⋮ The minimal period problem of classical Hamiltonian systems with even potentials

Cites Work

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• Solutions of minimal period for a class of convex Hamiltonian systems
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• Periodic solutions of prescribed minimal period for Hamiltonian systems: An extension of a theorem by Ekeland and Hofer to the non convex case
• A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain-Pass Theorem
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
• Periodic solutions of hamiltonian systems
• Hamiltonian trajectories having prescribed minimal period

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