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Steady-State Bifurcation

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

Abstract

Most research in dynamical systems theory is currently focused on exotic behavior such as chaos. In many applications, however, far simpler kinds of dynamical behavior are of interest — even steady states, in which there is no dynamics, only stasis. By the end of this book we too will be looking at exotic dynamical behavior, with the added ingredient of symmetry; but along the way we will have to rebuild dynamical systems theory from the ground up in the symmetry context. That means starting with steady states — which, for symmetric systems, turn out to be surprisingly interesting and subtle.

Keywords

Conjugacy Class Bifurcation Diagram Isotropy Subgroup Beak Length Phenotypic Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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