Minimal \(P\)-symmetric periodic solutions in semi-positive definite Hamiltonian systems

DOI10.3934/DCDS.2024029zbMATH Open1542.70016MaRDI QIDQ6559007

Peng Liu, Zhihao Zhao, Duanzhi Zhang

Publication date: 21 June 2024

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

zbMATH Keywords

variational problemMaslov indexGalerkin approximationsymplectic matrixsaddle point theoryiterative inequalityHörmander index estimate

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

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