Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinite-dimensional tori

DOI10.1016/j.na.2019.111720zbMath1451.37092OpenAlexW2980932041MaRDI QIDQ2202204

Andrea Sfecci, Giuliano Klun, Alessandro Fonda

Publication date: 17 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111720

zbMATH Keywords

periodic solutionsbifurcationinfinite-dimensional dynamical systemssuperintegrable systems

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (3)

Periodic solutions of second-order differential equations in Hilbert spaces ⋮ An extension of the Poincaré-Birkhoff theorem coupling twist with lower and upper solutions ⋮ A dynamical approach to lower and upper solutions for planar systems. ``To the memory of Massimo Tarallo

Cites Work

• Unnamed Item
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• Periodic perturbations of Hamiltonian systems
• Multiplicity of solutions of variational systems involving \(\phi\)-Laplacians with singular \(\phi\) and periodic nonlinearities
• A higher dimensional Poincaré-Birkhoff theorem for Hamiltonian flows
• Symmetry breaking in Hamiltonian systems
• Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonian
• A perturbation theory near convex Hamiltonian systems
• Critical point theory and Hamiltonian systems
• Generalized Liouville method of integration of Hamiltonian systems
• Periodic Solutions of Pendulum-Like Hamiltonian Systems in the Plane
• An infinite-dimensional version of the Poincaré-Birkhoff theorem on the Hilbert cube

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