Periodic orbits for a generalized Friedmann-Robertson-Walker Hamiltonian system in dimension 6

DOI10.3934/dcdss.2015.8.1165zbMath1334.37071OpenAlexW2525200416MaRDI QIDQ258584

Fatima Ezzahra Lembarki, Jaume Llibre

Publication date: 10 March 2016

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

Full work available at URL: https://doi.org/10.3934/dcdss.2015.8.1165

zbMATH Keywords

periodic orbitsaveraging theoryfamily of periodic orbitsFriedmann-Robertson-Walkerperiodic orbits parameterized by energy

Mathematics Subject Classification ID

Related Items (4)

Existence and stability of periodic orbits for a Hamiltonian system with homogeneous potential of degree five ⋮ Stability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom and single resonance in the critical case ⋮ Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature ^* ⋮ Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential

Cites Work

• Periodic orbits of the generalized Friedmann-Robertson-Walker Hamiltonian systems
• Quantitative predictions with detuned normal forms
• Periodic orbits for the generalized Yang-Mills Hamiltonian system in dimension 6
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