A note on a modified version of the Poincaré-Birkhoff theorem

DOI10.1016/J.JDE.2004.03.022zbMath1052.37033OpenAlexW2107711928MaRDI QIDQ1878497

Yanyan Li

Publication date: 20 August 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.03.022

zbMATH Keywords

Poincaré-Birkhoff theoremtwist conditionsasymptotic Poincaré-Birkhoff theorem

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical aspects of twist maps (37E40)

Related Items (4)

Lower bound on the number of periodic solutions for asymptotically linear planar Hamiltonian systems ⋮ Chaos in periodically perturbed planar Hamiltonian systems using linked twist maps ⋮ Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers ⋮ On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs

Cites Work

• Maslov index, Poincaré-Birkhoff theorem and periodic solutions of asymptotically linear planar Hamiltonian systems
• A note on the Poincaré—Birkhoff fixed point theorem and periodic solutions of planar systems
• A Generalization of the Poincare-Birkhoff Theorem

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