Analytic invariant manifolds for nonautonomous equations
DOI:
https://doi.org/10.12775/TMNA.2015.035Keywords
Analytic invariant manifolds, nonuniform hyperbolicityAbstract
We construct real analytic stable invariant manifolds for sufficiently small perturbations of a linear equation $v'=A(t)v$ admitting a~nonuniform exponential dichotomy. As a byproduct of our approach we obtain an exponential control not only of the trajectories on the invariant manifolds, but also of all their derivatives.Downloads
Published
2015-09-01
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1.
BARREIRA, Luis and VALLS, Claudià. Analytic invariant manifolds for nonautonomous equations. Topological Methods in Nonlinear Analysis. Online. 1 September 2015. Vol. 46, no. 1, pp. 29 - 43. [Accessed 28 March 2024]. DOI 10.12775/TMNA.2015.035.
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