STABLE MANIFOLDS FOR NON-AUTONOMOUS EQUATIONS WITH NON-UNIFORM POLYNOMIAL DICHOTOMIES

DOI10.1093/QMATH/HAQ047zbMath1254.37024OpenAlexW2087913395MaRDI QIDQ2890800

César M. Silva, António J. G. Bento

Publication date: 12 June 2012

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/haq047

zbMATH Keywords

perturbationsstable manifoldspolynomial decaynon-autonomous equationssemiflowspolynomial dichotomy

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Invariant manifold theory for dynamical systems (37D10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (9)

Integral conditions for nonuniform \(\mu\)-dichotomy on the half-line ⋮ Nonuniform dichotomic behavior: Lipschitz invariant manifolds for ODEs ⋮ Nonuniform \(\mu \)-dichotomy spectrum and kinematic similarity ⋮ Generalized dichotomies and Hyers-Ulam stability ⋮ Generalized nonuniform dichotomies and local stable manifolds ⋮ Admissible Banach function spaces for linear dynamics with nonuniform behavior on the half-line ⋮ A general approach to nonautonomous shadowing for nonlinear dynamics ⋮ Admissibility and polynomial dichotomies for evolution families ⋮ Admissibility and generalized nonuniform dichotomies for discrete dynamics

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