Geodesic
Persistence of invariant manifolds for perturbations of semiflows with symmetry
Electronic Journal of Differential Equations, Tome 1999 (1999).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 58F15, 58F35, 58G30, 58G35, 34C35
Keywords: semiflow, invariant manifold, symmetry 
@article{EJDE_1999__1999__a77,
     author = {Zeng, Chongchun},
     title = {Persistence of invariant manifolds for perturbations of semiflows with symmetry},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1999},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a77/}
}
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Zeng, Chongchun. Persistence of invariant manifolds for perturbations of semiflows with symmetry. Electronic Journal of Differential Equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a77/