Results 161 to 170 of about 27,859 (206)

Pullback trajectory attractor for nonautonomous wave equations

Communications in Nonlinear Science and Numerical Simulation, 2023
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Xingjie Yan, Rong Yang
exaly   +4 more sources

A uniformly exponential random forward attractor which is not a pullback attractor

Archiv Der Mathematik, 2002
The author constructs an example of a random forward attractor for a random dynamical system (RDS) that is not a pullback attractor which is one of 3 possible notions of an attractor one can naturally define for RDS (and which all coincide for deterministic dynamical systems).
exaly   +3 more sources

Pullback Attractors of the Bingham Model

Дифференциальные уравнения, 2023
Based on the theory of trajectory pullback attractors, we study the qualitative behavior of weak solutions for the Bingham model with periodic conditions in the space variables. For the model under consideration, a family of trajectory spaces is introduced and the existence of pullback attractors is proved.
Zvyagin, V. G., Ustiuzhaninova, A. S.
openaire   +2 more sources

The pullback attractor

2012
The global attractor, whose well established definition we recall below, is an object that captures the asymptotic behaviour of autonomous systems. The aim of this chapter is to introduce the ‘pullback attractor’, which seems to be the correct generalisation of this concept for use with non-autonomous processes.
Alexandre N. Carvalho, José A. Langa, James C. Robinson   +2 more
openaire   +1 more source

Limitations of pullback attractors for processes

Journal of Difference Equations and Applications, 2012
Pullback convergence has been investigated in numerous papers as an appropriate attraction concept for nonautonomous problems. However, in this paper, it is illustrated through some simple examples that pullback attractors do not give a complete picture of asymptotic behaviour when the nonautonomous dynamical systems that they generate are formulated ...
Peter E. Kloeden, Christian Pötzsche, Martin Rasmussen   +2 more
openaire   +1 more source

Forward and pullback attraction on pullback attractors

SeMA Journal, 2010
Pullback attractors are important elements to study the asymptotic behaviour for nonautonomous PDEs because they copy the pullback dynamic of the system inside them. Although pullback and forward dynamic may not be related, there exist some cases when the trajectories converge forward in time to the pullback attractor.
openaire   +1 more source

Pullback trajectory attractors

Evolution Equations and Control Theory
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Samprogna, Rodrigo Antonio, Simsen, Jacson   +1 more
openaire   +1 more source

PULLBACK ATTRACTORS OF NONAUTONOMOUS SEMIDYNAMICAL SYSTEMS

Stochastics and Dynamics, 2003
A nonautonomous semidynamical system is a skew-product semi-flow consisting of a cocycle mapping on a state space which is driven by a semidynamical system on a base space. It is shown that the driving system can be extended backwards in time on a compact invariant set, such as a global attractor, as a set-valued semidynamical system.
openaire   +2 more sources

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
openaire   +1 more source

Pullback-Attractors for the Modified Kelvin–Voigt Model

Russian Mathematics, 2021
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openaire   +2 more sources