Spontaneous Symmetry Breaking in Bifurcation Problems

  • D. H. Sattinger


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?


Symmetry Breaking Hopf Bifurcation Bifurcation Point Spherical Shell Spontaneous Symmetry Breaking 
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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • D. H. Sattinger
    • 1
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA

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