Periodic bounce solutions of dynamical conservative systems and their minimal period

DOI10.1016/0362-546X(90)90033-DzbMath0702.34036MaRDI QIDQ3480407

Fabio Giannoni

Publication date: 1990

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

zbMATH Keywords

conservative systemsperiodic bounce solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems and ergodic theory (37-XX)

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Periodic bounce trajectories with a low number of bounce points ⋮ Metodi topologici, disequazioni variazionali e traiettorie di rimbalzo elastico ⋮ Bounce trajectories with one bounce point

Cites Work

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• Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems
• Periodic solutions of convex autonomous Hamiltonian systems with a quadratic growth at the origin and superquadratic at infinity
• Solutions of minimal period for a class of convex Hamiltonian systems
• Multiplicity of solutions for the bounce problem
• Multiplicity of eigenvalues for the Laplace operator with respect to an obstacle, and nontangency conditions
• Hamiltonian trajectories having prescribed minimal period

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