Instability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom under the existence of a single resonance and an invariant ray

DOI10.1016/j.jde.2018.07.022zbMath1407.37097OpenAlexW2885206251MaRDI QIDQ1797844

Claudio Vidal, Daniela Carcamo

Publication date: 22 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.07.022

zbMATH Keywords

Hamiltonian systemequilibrium solutionChetaev's theoreminvariant ray solutionLie normal formsingle resonance

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) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability theory for smooth dynamical systems (37C75) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

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Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates ⋮ Normalization and existence of invariant ray solutions of a 2-DOF autonomous Hamiltonian system with null frequencies

Cites Work

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