Hidden Symmetry and Genericity

  • Martin Golubitsky
  • Ian Stewart
Part of the Progress in Mathematics book series (PM, volume 200)


In Chapter 6 we discussed ways in which symmetries can be modeling assumptions in physical systems, and we framed this discussion specifically in terms of models of the Couette-Taylor experiment and the Belousov-Zhabotinskii experiment. We saw that symmetries may be exact, at least for modeling purposes, or they may be approximate. In models of the Couette-Taylor experiment, approximate symmetries appear because we assume periodic boundary conditions in the axial direction; in models of the Belousov-Zhabotinskii experiment they appear because we assume an infinitely large domain. We saw that model-independent results — those that depend only on the symmetries of the model — tell us a great deal about transitions that are actually seen in experiments.


Mode Interaction Isotropy Subgroup Pitchfork Bifurcation Hide Symmetry Taylor Vortex 
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Copyright information

© Springer Basel AG 2002

Authors and Affiliations

  • Martin Golubitsky
    • 1
  • Ian Stewart
    • 2
  1. 1.Department of MathematicsUniversity of HoustonHoustonUSA
  2. 2.Mathematics InstituteUniversity of WarwickCoventryUK

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