Periodic perturbations of Hamiltonian systems

DOI10.1515/anona-2015-0122zbMath1353.37124OpenAlexW2547182360MaRDI QIDQ350308

Paolo Gidoni, Maurizio Garrione, Alessandro Fonda

Publication date: 7 December 2016

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2015-0122

zbMATH Keywords

periodic solutionsperturbation theoryPoincaré-Birkhoff theorem

Mathematics Subject Classification ID

Related Items (23)

Infinitely many periodic solutions of planar Hamiltonian systems via the Poincaré-Birkhoff theorem ⋮ Homoclinic orbits for first-order Hamiltonian system with local super-quadratic growth condition ⋮ An avoiding cones condition for the Poincaré-Birkhoff theorem ⋮ A new application of boundary integral behaviors of harmonic functions to the least harmonic majorant ⋮ Subharmonic solutions of Hamiltonian systems displaying some kind of sublinear growth ⋮ Some multiplicity results of homoclinic solutions for second order Hamiltonian systems ⋮ Subharmonic solutions of weakly coupled Hamiltonian systems ⋮ Ground states and multiple solutions for Hamiltonian elliptic system with gradient term ⋮ An extension of the Poincaré-Birkhoff theorem coupling twist with lower and upper solutions ⋮ Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinite-dimensional tori ⋮ Coupling linearity and twist: an extension of the Poincaré-Birkhoff theorem for Hamiltonian systems ⋮ Existence and concentration properties of ground state solutions for elliptic systems ⋮ A new fixed point theorem and periodic solutions of nonconservative weakly coupled systems ⋮ Multiplicity of clines for systems of indefinite differential equations arising from a multilocus population genetics model ⋮ Periodic Solutions to a Perturbed Relativistic Kepler Problem ⋮ A higher dimensional Poincaré-Birkhoff theorem for Hamiltonian flows ⋮ Multiplicity of periodic solutions for systems of weakly coupled parametrized second order differential equations ⋮ Unnamed Item ⋮ Subharmonic solutions of bounded coupled Hamiltonian systems with sublinear growth ⋮ Continuous dependence on parameters and boundedness of solutions to a hysteresis system. ⋮ Periodic solutions of perturbed central Hamiltonian systems ⋮ Existence and multiplicity of solutions for second-order Hamiltonian systems satisfying generalized periodic boundary value conditions at resonance ⋮ Periodic solutions for second order damped boundary value problem with nonnegative Green's functions

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