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Symmetry breaking for toral actions in simple mechanical systems

Petre Birtea, Mircea Puta, Tudor S. Ratiu, Razvan Tudoran

math.DSarXiv:math/0311451

Abstract

For simple mechanical systems, bifurcating branches of relative equilibria with trivial symmetry from a given set of relative equilibria with toral symmetry are found. Lyapunov stability conditions along these branches are given.

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