Estimate of the number of periodic solutions via the twist number

DOI10.1006/JDEQ.1996.3199zbMath0881.34063OpenAlexW2082759802MaRDI QIDQ678037

Donato Fortunato, Vieri Benci

Publication date: 25 February 1998

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

Full work available at URL: https://doi.org/10.1006/jdeq.1996.3199

zbMATH Keywords

dynamical system\(T\)-periodic solutionsglobal twist number

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems and ergodic theory (37-XX)

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Estimates of the number of periodic trajectories on a class of Lorentz manifolds ⋮ Multiple periodic solutions for \(\Gamma\)-symmetric Newtonian systems ⋮ Periodic solutions of asymptotically linear autonomous Newtonian systems with resonance ⋮ Periodic solutions of autonomous Newtonian systems partially asymptotically linear at infinity ⋮ Periodic solutions with prescribed minimal period for \(2n\)th-order nonlinear discrete systems ⋮ New proof and generalizations of the Demidowitsch–Schneider criterion ⋮ Applications of equivariant degree for gradient maps to symmetric Newtonian systems ⋮ Existence of nonstationary periodic solutions of \(G\)-symmetric asymptotically linear autonomous Newtonian systems with degeneracy ⋮ Estimate of number of periodic solutions of second-order asymptotically linear difference system ⋮ Maslov index, Poincaré-Birkhoff theorem and periodic solutions of asymptotically linear planar Hamiltonian systems ⋮ Existence and continuation of periodic solutions of autonomous Newtonian systems

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