EQUI-ATTRACTION AND THE CONTINUOUS DEPENDENCE OF PULLBACK ATTRACTORS ON PARAMETERS

DOI10.1142/S0219493704001061zbMath1059.37015MaRDI QIDQ4822534

Peter E. Kloeden, De-Sheng Li

Publication date: 25 October 2004

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

pullback attractorskew-product flownonautonomous dynamical systemcontinuous dependenceparametrically inflated pullback attractoruniform equi-attractionuniform equi-dissipativity

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Attractors of solutions to ordinary differential equations (34D45) Topological dynamics of nonautonomous systems (37B55) Nonautonomous smooth dynamical systems (37C60)

Related Items (12)

On random cocycle attractors with autonomous attraction universes ⋮ Attractors for multi-valued non-autonomous dynamical systems: relationship, characterization and robustness ⋮ Continuity of pullback and uniform attractors ⋮ Continuity properties of pullback and pullback exponential attractors for non-autonomous plate with \(p\)-Laplacian ⋮ Continuity of the attractors in time-dependent spaces and applications ⋮ Uniformly attracting solutions of nonautonomous differential equations ⋮ Local equi-attraction of pullback attractor sections ⋮ Equi-attraction and continuity of attractors for skew-product semiflows ⋮ ATTRACTORS FOR PARAMETRIC DELAY DIFFERENTIAL EQUATIONS AND THEIR CONTINUOUS BEHAVIOR ⋮ On the continuity of pullback attractors for evolution processes ⋮ Limiting dynamics for stochastic FitzHugh–Nagumo equations on large domains ⋮ Convergence Rate of Random Attractors for 2D Navier–Stokes Equation Towards the Deterministic Singleton Attractor

Cites Work

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• Asymptotic behavior of dynamical and control systems under perturbation and discretization
• Strongly positively invariant attractors for periodic processes
• Attractors of asymptotically compact processes and applications to nonlinear partial differential equations

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