Results 171 to 180 of about 2,218 (199)

Stochastic Synchronization of Random Pullback Attractors

2020
In this and in the next chapter we deal with the synchronization of random dynamical systems (RDS). The concept of RDS (see Arnold [4] and the literature cited therein) covers the most important families of dynamical systems with randomness, including random and stochastic ordinary and partial differential equations and random difference equations ...
Igor Chueshov, Björn Schmalfuß
openaire   +1 more source

Pullback Exponential Attractors for Non-autonomous Lattice Systems

Journal of Dynamics and Differential Equations, 2012
The authors first present some sufficient conditions for the existence and the construction of a pullback exponential attractor for the continuous process (non-autonomous dynamical system) on Banach spaces and weighted spaces of infinite sequences. Then they apply the results to study the existence of pullback exponential attractors for first-order non-
Zhou, Shengfan, Han, Xiaoying
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Discretisation of a Uniform Pullback Attractor

2017
Pullback and forward attractors for skew product flows are introduced, then the implicit Euler numerical scheme is applied to obtain a discrete time skew product flow. Existence of a numerical attractor for this discrete time skew product flow is established for sufficiently small step size.
Xiaoying Han, Peter Kloeden
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Pullback Attractors for NonAutonomous Dynamical Systems

2013
We study a nonautonomous reaction-diffusion equation with zero Dirichlet boundary condition, in an unbounded domain containing a nonautonomous forcing term taking values in the space H −1, and with a continuous nonlinearity which does not ensure uniqueness of solution. Using results of the theory of set-valued nonautonomous (pullback) dynamical systems,
María Anguiano, Tomás Caraballo, José Real, José Valero   +3 more
openaire   +1 more source

Pullback attractors in nonautonomous difference equations

Journal of Difference Equations and Applications, 2000
Nonautonomous difference equations are formulated as cocycles which generalize semigroups corresponding to autonomous difference equations. Pullback attractors are the appropriate generalization of autonomous attractors to cocycles. The existence of a pullback attractor follows when the difference equation cocycle has a pullback absorbing set.
openaire   +1 more source

Pullback attractors under discretization

2000
D.N. Cheban, P. E. Kloeden, B. Schmalfulβ   +2 more
openaire   +1 more source

Pullback attractors for the norm-to-weak continuous process and application to the nonautonomous reaction–diffusion equations

Applied Mathematics and Computation, 2007
Yongjun Li
exaly  

Pullback exponential attractors for evolution processes in Banach spaces: Theoretical results

Communications on Pure and Applied Analysis, 2013
Stefanie Sonner
exaly  

Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems

Journal of Differential Equations, 2012
Bixiang Wang
exaly  

On the continuity of pullback attractors for evolution processes

Nonlinear Analysis: Theory, Methods & Applications, 2009
Jose A Langa
exaly