A Dirichlet criterion for the stability of periodic and relative periodic orbits in Hamiltonian systems

DOI10.1016/S0393-0440(99)00025-XzbMath0977.34051OpenAlexW2016871068MaRDI QIDQ1962805

Tudor S. Ratiu, Juan-Pablo Ortega

Publication date: 7 January 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(99)00025-x

zbMATH Keywords

relative equilibriaHamiltonian systemsnonlinear stabilityDirichlet criterionsufficient conditions of stability

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items

Nonlinear stability of singular relative periodic orbits in Hamiltonian systems with symmetry, Asymptotic and Lyapunov stability of constrained and Poisson equilibria, Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies

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