Stability in nonautonomous dynamics: a survey of recent results

DOI10.11606/issn.2316-9028.v1i2p133-173zbMath1184.34001OpenAlexW2144352719WikidataQ107154315 ScholiaQ107154315MaRDI QIDQ2390128

Luis Barreira, Claudia Valls

Publication date: 20 July 2009

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11606/issn.2316-9028.v1i2p133-173

zbMATH Keywords

robust stabilityLyapunov stabilityexponential dichotomiesexponential trichotomiesinvariant manifolds, exponential contractions

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Invariant manifolds for ordinary differential equations (34C45) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Nonautonomous smooth dynamical systems (37C60) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (6)

Proportional Local Assignability of the Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems ⋮ Smooth invariant manifolds for differential equations with infinite delay ⋮ Necessary and sufficient conditions for assignability of dichotomy spectra of continuous time-varying linear systems ⋮ Normal forms and invariant manifolds for nonlinear, non-autonomous PDEs, viewed as ODEs in infinite dimensions ⋮ Unnamed Item ⋮ Nonuniform dichotomy spectrum and reducibility for nonautonomous equations

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