Two Degrees of Freedom with (Z2 ⊕ Z2)-Symmetry
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 2 ⊕ Z 2. Although even in this special case our discussion is necessarily incomplete, it indicates the directions of the general theory.
KeywordsNormal Form Hopf Bifurcation Bifurcation Diagram Mixed Mode Modal Parameter
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