Analytic invariant manifolds for nonautonomous equations
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https://doi.org/10.12775/TMNA.2015.035Słowa kluczowe
Analytic invariant manifolds, nonuniform hyperbolicityAbstrakt
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.Pobrania
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2015-09-01
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BARREIRA, Luis & VALLS, Claudià. Analytic invariant manifolds for nonautonomous equations. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2015, T. 46, nr 1, s. 29–43. [udostępniono 22.7.2024]. DOI 10.12775/TMNA.2015.035.
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