Periodic solutions and their stability for some perturbed Hamiltonian systems

DOI10.1142/s0219887821500134OpenAlexW3097684502MaRDI QIDQ6153380

Juan Luis García Guirao, Bruce A. Wade, Juan A. Vera, Jaume Llibre

Publication date: 19 March 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887821500134

zbMATH Keywords

periodic solutionsHamiltonian systemaveraging theory

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Cites Work

• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Periodic orbits for the generalized Yang-Mills Hamiltonian system in dimension 6
• New 1:1:1 periodic solutions in \(3\)-dimensional galactic-type Hamiltonian systems
• The 3-dimensional cored and logarithm potentials: Periodic orbits
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