Relative equilibria near stable and unstable Hamiltonian relative equilibria

DOI10.1098/RSPA.2003.1213zbMath1068.37036OpenAlexW2061574784MaRDI QIDQ4668191

Juan-Pablo Ortega, Tudor S. Ratiu

Publication date: 18 April 2005

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://infoscience.epfl.ch/record/129535/files/OrRa2004.pdf

zbMATH Keywords

stabilityrelative equilibriabifurcationnormal formcritical point theoryLyapunov-Schmidt reductionHamiltonian dynamics

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

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