The Poincaré-Birkhoff theorem for a class of degenerate planar Hamiltonian systems

DOI10.1515/ans-2021-2137zbMath1479.37065OpenAlexW3189747640WikidataQ114053207 ScholiaQ114053207MaRDI QIDQ1983639

Eduardo Muñoz-Hernández, Fabio Zanolin, Julián López-Gómez

Publication date: 10 September 2021

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2021-2137

zbMATH Keywords

Volterra typePoincaré-Birkhoff twist theoremperiodic predator-prey modeldegenerate modelssubharmonic coexistence states

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (3)

Subharmonic solutions for a class of predator-prey models with degenerate weights in periodic environments ⋮ Rich dynamics in planar systems with heterogeneous nonnegative weights ⋮ Planar Hamiltonian systems: index theory and applications to the existence of subharmonics

Cites Work

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