Two Degrees of Freedom with (Z2Z2)-Symmetry

  • Martin Golubitsky
  • David G. Schaeffer
Part of the Applied Mathematical Sciences book series (AMS, volume 51)


In this chapter we explore the role of symmetry in the study of bifurcation problems. Specifically, we analyze a family of bifurcation problems in two state variables that commute with the group Z 2Z 2. Although even in this special case our discussion is necessarily incomplete, it indicates the directions of the general theory.


Normal Form Hopf Bifurcation Bifurcation Diagram Mixed Mode Modal Parameter 
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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Martin Golubitsky
    • 1
  • David G. Schaeffer
    • 2
  1. 1.Department of MathematicsUniversity of HoustonHoustonUSA
  2. 2.Department of MathematicsDuke UniversityDurhamUSA

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