On the stability of hyperbolic attractors of systems of differential equations

DOI10.1134/S0012266116020014zbMath1362.37064MaRDI QIDQ299115

J. R. Sell, Victor A. Pliss, Nikita Begun

Publication date: 22 June 2016

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

zbMATH Keywords

\(C^1\)-perturbationshyperbolic invariant set

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems with hyperbolic orbits and sets (37D05) Attractors of solutions to ordinary differential equations (34D45) Stability theory for smooth dynamical systems (37C75)

Related Items (2)

On problems of stability theory for weakly hyperbolic invariant sets ⋮ On the stability of weakly hyperbolic invariant sets

Cites Work

• On approximate inertial manifolds to the Navier-Stokes equations
• Perturbations of attractors of differential equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Dichotomies in stability theory
• The structure of a flow in the vicinity of an almost periodic motion
• Approximation dynamics and the stability of invariant sets
• On the stability of invariant sets of leaves of three-dimensional periodic systems
• Stability of the center-stable manifold
• The stable, center-stable, center, center-unstable, unstable manifolds
• Differentiable dynamical systems
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