A ``Birkhoff-Lewis type result for a class of Hamiltonian systems

DOI10.1007/BF01170847zbMath0616.58014MaRDI QIDQ1821403

Vieri Benci, Donato Fortunato

Publication date: 1987

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155260

zbMATH Keywords

periodic solutionvariational methodsHamiltonian systems

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Cites Work

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• Periodic solutions of Hamiltonian systems with superquadratic potential
• Critical point theorems for indefinite functionals
• On the periodic motions near a given periodic motion of a dynamical system
• Periodic solutions of arbitrarily long periods in Hamiltonian systems