Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501657 | Journal of Differential Equations | 2005 | 28 Pages |
Abstract
We consider one parameter families of vector fields depending on a parameter É such that for É=0 the system becomes a rotation of R2ÃRn around {0}ÃRn and such that for É>0 the origin is a hyperbolic singular point of saddle type with, say, attraction in the rotation plane and expansion in the complementary space. We look for a local subcenter invariant manifold extending the stable manifolds to É=0. Afterwards the analogous case for maps is considered. In contrast with the previous case the arithmetic properties of the angle of rotation play an important role.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Patrick Bonckaert, Ernest Fontich,