Global synchronising behavior of evolution equations with exponentially growing nonautonomous forcing
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Publication:1660030
DOI10.3934/cpaa.2018091zbMath1394.37044OpenAlexW2799856136WikidataQ129856887 ScholiaQ129856887MaRDI QIDQ1660030
Publication date: 23 August 2018
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2018091
invariant manifoldnonautonomous dynamical systemhyperbolic equilibriumstochastic hyperbolic equilibriumsynchronising behavior
Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05) Nonautonomous smooth dynamical systems (37C60) Synchronization of solutions to ordinary differential equations (34D06)
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Cites Work
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- Attractors for infinite-dimensional non-autonomous dynamical systems
- Inertial manifolds for stochastic PDE with dynamical boundary conditions
- Invariant manifolds for stochastic wave equations
- Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system
- Structure of the set of bounded solutions for a class of nonautonomous second-order differential equations
- An extension of the concept of gradient semigroups which is stable under perturbation
- Geometric theory of semilinear parabolic equations
- Attractors for random dynamical systems
- Random attractors
- Invariant manifolds for stochastic partial differential equations.
- Smooth stable and unstable manifolds for stochastic evolutionary equations
- Exponentially stable stationary solutions for stochastic evolution equations and their perturba\-tion
- On dynamical properties of general dynamical systems and differential inclusions
- Regular attractors and nonautonomous perturbations of them
- Stability of gradient semigroups under perturbations
- State space decomposition for non-autonomous dynamical systems
- Gradient Infinite-Dimensional Random Dynamical Systems
- Stochastic Equations in Infinite Dimensions