Minimal period solutions in asymptotically linear Hamiltonian system with symmetries

DOI10.3934/DCDS.2020354zbMath1473.37077OpenAlexW3094563755MaRDI QIDQ2030047

Zhi-Ping Fan, Duanzhi Zhang

Publication date: 4 June 2021

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

Full work available at URL: https://doi.org/10.3934/dcds.2020354

zbMATH Keywords

asymptotically linear Hamiltonian systemsminimal periodbrake orbitsMaslov-type indices

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (3)

Some progress on minimal period problems in reversible semi-positive Hamiltonian systems ⋮ Minimal \(P\)-cyclic periodic brake orbits in Hamiltonian systems ⋮ Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities

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