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Symmetry breaking for toral actions in simple mechanical systems

Dynamical Systems 2017-02-10 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.math/0311451,
  title  = {Symmetry breaking for toral actions in simple mechanical systems},
  author = {Petre Birtea and Mircea Puta and Tudor S. Ratiu and Razvan Tudoran},
  journal= {arXiv preprint arXiv:math/0311451},
  year   = {2017}
}

Comments

25 pages