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Parameter dependence of stable manifolds under nonuniform hyperbolicity

✍ Scribed by Luis Barreira; Claudia Valls


Book ID
108178476
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
167 KB
Volume
358
Category
Article
ISSN
0022-247X

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Center manifolds for impulsive equations
✍ Luis Barreira; Claudia Valls πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 259 KB

We establish the existence of smooth center manifolds under sufficiently small perturbations of an impulsive linear equation. In particular, we obtain the C 1 smoothness of the manifolds outside the jumping times. We emphasize that we consider the general case of nonautonomous equations for which th