Petre Birtea, Mircea Puta, Tudor S. Raţiu, Răzvan, Micu Tudoran
Abstract
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. 1.
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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. 1.
Key concepts: Symmetry breaking, Explicit symmetry breaking, Spontaneous symmetry breaking, Chiral symmetry breaking, Hamiltonian (control theory), Global symmetry, Symmetry number, Rotational symmetry