English

On the symmetry breaking phenomenon

Dynamical Systems 2015-06-26 v1 Symplectic Geometry

Abstract

We investigate the problem of symmetry breaking in the framework of dynamical systems with symmetry on a smooth manifold. Two cases will be analyzed: general and Hamiltonian dynamical systems. We give sufficient conditions for symmetry breaking in both cases.

Keywords

Cite

@article{arxiv.math/0601434,
  title  = {On the symmetry breaking phenomenon},
  author = {Petre Birtea and Mircea Puta and Tudor S. Ratiu and Răzvan Micu Tudoran},
  journal= {arXiv preprint arXiv:math/0601434},
  year   = {2015}
}