Bifurcations in the presence of a symmetry group

Ruelle, David



Abstract : Let the origin O of a Banach space E be a fixed point of a diffeomorphism or a critical point of a vector, assuming equivariance under a linear group of isometries of E. Explicit techniques are presented to handle the generalization of the Hopf bifurcation to this equivariant situation.




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RUELLE, “Bifurcations in the presence of a symmetry group,” Archives de l'IHES, consulté le 19 juin 2024,