Persistence of invariant manifolds for perturbations of semiflows with symmetry
Consider a semiflow in a Banach space, which is invariant under the action of a compact Lie group. Any equilibrium generates a manifold of equilibria under the action of the group. We prove that, if the manifold of equilibria is normally hyperbolic, an invariant manifold persists in the neighborhood...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Texas State University
1999-05-01
|
Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/1999/16/abstr.html |