Spontaneous Symmetry Breaking in Bifurcation Problems

  • Sattinger D
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Abstract

In analyzing the dynamics of a physical system governed by nonlinear equations the following questions occur: Are there equilibrium states of the system? How many are there? Are they stable or unstable? What happens as external parameters are varied? In particular, what happens when a known solution becomes unstable as some parameter passes through a critical value?

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Sattinger, D. H. (1980). Spontaneous Symmetry Breaking in Bifurcation Problems. In Symmetries in Science (pp. 365–383). Springer US. https://doi.org/10.1007/978-1-4684-3833-8_24

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