On the symmetry breaking phenomenon
classification
🧮 math.DS
math.SG
keywords
symmetrybreakingcasesdynamicalsystemsanalyzedconditionsframework
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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.
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