Michael Field.
Local structure of equivariant dynamics
Let G be a compact Lie group.
In this article we give a comprehensive description of G-equivariant dynamics in and on
relative equilibria and relative periodic orbits. Results are given for G-equivariant flows and
G-equivariant diffeomorphisms. We present a classification of relative periodic orbits and describe dynamics
on relative periodic orbits in terms of a new group theoretic invariant. This
invariant is related to another invariant arising in the work of Krupa.