Perturbations of attractors of differential equations

DOI10.1016/0022-0396(91)90066-IzbMath0727.34039MaRDI QIDQ803364

George R. Sell, Victor A. Pliss

Publication date: 1991

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

zbMATH Keywords

homeomorphismhyperbolic attractorC\({}^ 1\)-perturbations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of ordinary differential equations (34D10) Attractors of solutions to ordinary differential equations (34D45)

Related Items (15)

On the stability of hyperbolic attractors of systems of differential equations ⋮ On the effectiveness of the approximate inertial manifold -- a computational study ⋮ Perturbations of weakly hyperbolic invariant sets of two-dimension periodic systems ⋮ On the stability of sheet invariant sets of two-dimensional periodic systems ⋮ On the behavior of attractors under finite difference approximation ⋮ On problems of stability theory for weakly hyperbolic invariant sets ⋮ On a definition of Morse-Smale evolution processes ⋮ 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 weakly hyperbolic invariant sets ⋮ On the stability of invariant sets of leaves of three-dimensional periodic systems ⋮ Non-existence of the global attractor for a partly dissipative reaction-diffusion system with hysteresis ⋮ Approximation dynamics and the stability of invariant sets ⋮ Persistence of invariant sets for dissipative evolution equations

Cites Work

• On approximate inertial manifolds to the Navier-Stokes equations
• Inertial manifolds for nonlinear evolutionary equations
• The algebraic approximation of attractors: The finite dimensional case
• Geometric theory of semilinear parabolic equations
• Applications of centre manifold theory
• The structure of a flow in the vicinity of an almost periodic motion
• Melnikov Transforms, Bernoulli Bundles, and Almost Periodic Perturbations
• Inertial Manifolds for Reaction Diffusion Equations in Higher Space Dimensions
• Induced trajectories and approximate inertial manifolds
• Nonlinear Galerkin Methods
• Differentiable dynamical systems
• Invariant manifolds
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