Stability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom and single resonance in the critical case

DOI10.1016/j.jde.2017.12.033zbMath1386.37055OpenAlexW2781619396MaRDI QIDQ683789

Claudio Vidal, Fabio dos Santos

Publication date: 9 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jde.2017.12.033

zbMATH Keywords

stabilityHamiltonian systemresonancecosmological modelequilibrium solution

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Stability of solutions to ordinary differential equations (34D20) Stability theory for smooth dynamical systems (37C75) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (5)

Nonlinear stability of elliptic equilibria in Hamiltonian systems with resonances of order four with interactions ⋮ Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates ⋮ Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature ^* ⋮ Stability of the relative equilibria in the two-body problem on the sphere ⋮ Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential

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