Persistence of Invariant Manifolds for Perturbations of Semiflows with Symmetry

Date

1999-03-18

Authors

Zeng, Chongchun

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

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 under any small perturbation which may break the symmetry. The Liapunov-Perron approach of integral equations is used.

Description

Keywords

Semiflow, Invariant manifold, Symmetry

Citation

Zeng, C. (1999). Persistence of invariant manifolds for perturbations of semiflows with symmetry. <i>Electronic Journal of Differential Equations, 1999</i>(16), pp. 1-13.

Rights

Attribution 4.0 International

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