Approximative dichotomy and persistence of nonuniformly normally hyperbolic invariant manifolds in Banach spaces

DOI10.1016/j.jde.2020.12.001zbMath1459.34131OpenAlexW3111263636MaRDI QIDQ2217305

Linfeng Zhou, Wei Nian Zhang

Publication date: 29 December 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.12.001

zbMATH Keywords

pseudo orbitabsolutely normally hyperbolicapproximative exponential dichotomynoncompact invariant manifoldnonuniform normal hyperbolicity

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Perturbations of ordinary differential equations (34D10) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Growth and boundedness of solutions to ordinary differential equations (34C11) Invariant manifolds for ordinary differential equations (34C45) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (6)

Admissibility and nonuniform exponential dichotomies ⋮ Nonuniform input-output criteria for exponential expansiveness of discrete dynamical systems and applications ⋮ Measurable weighted shadowing for random dynamical systems on Banach spaces ⋮ Input-output criteria for the trichotomic behaviors of discrete dynamical systems ⋮ Persistence of smooth manifolds for a non-autonomous coupled system under small random perturbations ⋮ Mean-square invariant manifolds for ill-posed stochastic evolution equations driven by nonlinear noise

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