Regularization of the amended potential and the bifurcation of relative equilibria

DOI10.1007/S00332-004-0544-XzbMath1081.37056OpenAlexW2029608538MaRDI QIDQ812342

Jerrold E. Marsden, Antonio Hernández-Garduño

Publication date: 23 January 2006

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-004-0544-x

zbMATH Keywords

relative equilibriapendulumsymplectic manifoldsHamiltonian systemmomentum maprigid bodiesmechanical systems with symmetrysymmetry-breaking branches

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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