Bifurcation Behavior of Dn-Equivariant Systems

Part of the Applied Mathematical Sciences book series (AMS, volume 149)


Group-theoretic bifurcation theory has been presented in the preceding chapter. In this chapter, this theory is applied to the analysis of a system that is equivariant to the simplest group, the dihedral group Dn, which represents the symmetry of the regular n-sided polygon.


Irreducible Representation Bifurcation Point Opposite Path Reciprocal System Bifurcation Equation 
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Copyright information

© Springer New York 2010

Authors and Affiliations

  1. 1.Department of Civil EngineeringTohoku UniversitySendaiJapan
  2. 2.Department of Mathematical Informatics Graduate School of Information Science & TechnologyUniversity of TokyoTokyoJapan

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