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- Title
EXISTENCE OF CONJUGACIES AND STABLE MANIFOLDS VIA SUSPENSIONS.
- Authors
BARREIRA, LUIS; DRAGIČEVIĆ, DAVOR; VALLS, CLAUDIA
- Abstract
We obtain in a simpler manner versions of the Grobman-Hartman theorem and of the stable manifold theorem for a sequence of maps on a Banach space, which corresponds to consider a nonautonomous dynamics with discrete time. The proofs are made short by using a suspension to an infinite-dimensional space that makes the dynamics autonomous (and uniformly hyperbolic when originally it was nonuniformly hyperbolic).
- Subjects
EXISTENCE theorems; STABILITY theory; MANIFOLDS (Mathematics); DISCRETE time filters; NUMERICAL solutions to evolution equations
- Publication
Electronic Journal of Differential Equations, 2017, Vol 2017, Issue 146-199, p1
- ISSN
1550-6150
- Publication type
Article