Results 161 to 170 of about 503 (210)

Oscillators and relaxation phenomena in Pleistocene climate theory. [PDF]

Philos Trans A Math Phys Eng Sci, 2012
Crucifix M.
europepmc   +1 more source

Knowing one's place: a free-energy approach to pattern regulation. [PDF]

J R Soc Interface, 2015
Friston K, Levin M, Sengupta B, Pezzulo G.   +3 more
europepmc   +1 more source

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A selected pullback attractor

Journal of Mathematical Analysis and Applications, 2018
The paper is devoted to the study of pullback attractors of multivalued generalized processes. The authors establish conditions of the existence of such attractors. Some applications to nonautonomous problems with boundary conditions are given.
Jacson Simsen
exaly   +3 more sources

Pullback trajectory attractor for nonautonomous wave equations

Communications in Nonlinear Science and Numerical Simulation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xingjie Yan
exaly   +3 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.
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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
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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
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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.
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Pullback trajectory attractors

Evolution Equations and Control Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samprogna, Rodrigo Antonio, Simsen, Jacson   +1 more
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