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Bifurcation is often associated with what is called symmetry breaking .... Symmetry is broken at bifurcation if all solutions are symmetric when a parameter is greater (or less) than a critical value but some are asymmetric when the parameter is less (or greater) than that value. For example, when a circular pond dries out, the mud at the bottom shrinks, and the pattern of the cracks of the mud which develops does not have circular symmetry. The causes of pattern selection are closely related to the bifurcations and the stability of the solutions of the governing equations.  2, fiche 1, Anglais, - symmetry%20breaking

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Spontaneous symmetry breaking. The ball is placed on top of the "Mexican hat" surface. In this configuration there is complete rotational symmetry. However, the configuration is unstable, and the ball spontaneously rolls down into the rim of the "hat", coming to rest at some arbitrary point. The rotational symmetry is thereby broken. The system has traded symmetry for stability.  2, fiche 2, Anglais, - symmetry%20breaking

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Changement de la symétrie d'une structure, ou perte de symétrie de deux structures, lorsque les conditions qui la favorisaient changent.  3, fiche 2, Français, - brisure%20de%20sym%C3%A9trie

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Par exemple, les désordres d'empilement, les degrés d'ordre, les lacunes et les substitutions dans un réseau, les surstructures, les solides à dimensionnalité réduite, les matériaux incommensurables, les quasi-cristaux, le «dopage» des semi-conducteurs.  3, fiche 2, Français, - brisure%20de%20sym%C3%A9trie

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La brisure de symétrie engendre des structures, se manifeste, se produit, résulte d'une différence de symétrie.  3, fiche 2, Français, - brisure%20de%20sym%C3%A9trie

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engendrer, provoquer une brisure de symétrie.  3, fiche 2, Français, - brisure%20de%20sym%C3%A9trie

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