Lower bound on the number of periodic solutions for asymptotically linear planar Hamiltonian systems

DOI10.3934/dcds.2019024zbMath1421.37027arXiv1805.11041OpenAlexW2803613738MaRDI QIDQ1633145

Alessandro Margheri, Paolo Gidoni

Publication date: 19 December 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11041

zbMATH Keywords

periodic solutionstopological degreeMaslov indexasymptotically linear Hamiltonian systemsPoincaré-Birkhoff theorem

Mathematics Subject Classification ID

Related Items (4)

Sign-preserving solutions for a class of asymptotically linear systems of second-order ordinary differential equations ⋮ Subharmonic solutions for a class of predator-prey models with degenerate weights in periodic environments ⋮ Coupling linearity and twist: an extension of the Poincaré-Birkhoff theorem for Hamiltonian systems ⋮ Planar Hamiltonian systems: index theory and applications to the existence of subharmonics

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