Approximation dynamics and the stability of invariant sets

DOI10.1006/jdeq.1997.3400zbMath0908.34036OpenAlexW2022862365MaRDI QIDQ1268080

George R. Sell, Victor A. Pliss

Publication date: 22 March 1999

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

Full work available at URL: http://purl.umn.edu/2933

zbMATH Keywords

perturbationsupper semicontinuitylower semicontinuityapproximation dynamicsBubnov-Galerkin approximationsmultigrid methodshyperbolic flownormally hyperbolic invariant manifoldapproximate inertial manifoldsdynamics of coupled systems of weakly, normally hyperbolic setsweakly, normally hyperbolic set

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Invariant manifolds for ordinary differential equations (34C45) Dynamical systems with hyperbolic behavior (37D99)

Related Items

On the stability of hyperbolic attractors of systems of differential equations, Perturbations of weakly hyperbolic invariant sets of two-dimension periodic systems, On the stability of sheet invariant sets of two-dimensional periodic systems, On problems of stability theory for weakly hyperbolic invariant sets, Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points, Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations, A brief biography of George R. Sell, Perturbations of foliated bundles and evolutionary equations, On the stability of invariant sets of leaves of three-dimensional periodic systems, Center manifolds for invariant sets

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