Periodic solutions of dynamical systems

DOI10.1007/BF02352680zbMath0599.70010MaRDI QIDQ1080670

Donato Fortunato, Alberto Capozzi, Addolorata Salvatore

Publication date: 1985

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

Palais-Smale conditionperiodic potentialasymptotically linear dynamical systemsconservative fieldfinite number of material points

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) (n)-body problems (70F10) Dynamical systems and ergodic theory (37-XX)

Related Items

Periodic solutions of dynamical systems with bounded potential ⋮ Existence of T-periodic solutions for a class of Lagrangian systems ⋮ Some applications of the theory of operators in Krejn spaces to the solvability of nonlinear Hamiltonian systems ⋮ Periodic solutions of dynamical systems by a saddle point theorem of Rabinowitz ⋮ Existence of T-periodic solutions for a class of Lagrangian systems

Cites Work

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• Periodic motions of coupled simple pendulums with periodic disturbances
• On asymptotically quadratic Hamiltonian systems
• Periodic Solutions of Hamiltonian Systems: A Survey
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Non-trivial solutions of elliptic equations at resonance
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries