Michael Field.

Equivariant dynamics



A survey is given of some recent results in the theory of smooth diffeomorphisms and vector fields invariant under the action of a compact Lie group. Topics discussed include the basic local and global theory, transversality in G-manifolds, the Naimark-Sacker bifurcation for equivariant diffeomorphisms, and universal unfoldings of equivariant diffeomorphisms.