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Spontaneous Symmetry Breaking in Nonlinear Dynamic System

Spontaneous Symmetry Breaking(SSB), in contrast to explicit symmetry breaking, is a spontaneous process by which a system governed by a symmetrical dynamic ends up in an asymmetrical state. So the symmetry of the equations is not reflected by the individual solutions, but it is reflected by the symmetrically coexistence of asymmetrical solutions. SSB provides a way of understanding the complexity of nature without renouncing fundamental symmetries which makes us believe or prefer symmetric to asymmetric fundamental laws. Many illustrations of SSB are discussed from QFT, everyday life to nonlinear dynamic system.