Results 171 to 180 of about 783,150 (225)

On pullback attractors in non-autonomous dynamical systems

Selecciones Matemáticas
The theory of pullback attractors constitutes an important tool to interpret the dynamics of physical, biological or engineering phenomena, as it addresses the study of the asymptotic behavior of nonautonomous dynamic systems, where differential ...
Carlos Felipe Vidarte Chavez
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Pullback trajectory attractors

Evolution Equations and Control Theory
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Samprogna, Rodrigo Antonio, Simsen, Jacson   +1 more
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On the Dimension of Pullback Attractors in Recurrent Neural Networks

arXiv.org
Recurrent neural networks trained via the reservoir computing paradigm have demonstrated remarkable success in learning and reconstructing attractors from chaotic systems, often replicating quantities such as Lyapunov exponents and fractal dimensions. It
Muhammed Fadera
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Pullback attractors for two dimensional magnetohydrodynamic equations with delays in sub-linear operators

Journal of Mathematics and Physics
The paper concerns the asymptotic dynamics for two dimensional magnetohydrodynamic (2D MHD) equations with delays in sub-linear operators. First, we propose some appropriate assumptions of delays and establish the well-posedness of weak solutions.
Xiaoya Song, Chunxiang Zhao
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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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Upper semicontinuity of pullback attractors for nonclassical diffusion equations with delay

Asymptotic Analysis, 2022
In this paper, we mainly study the upper semicontinuity of pullback D -attractors for a nonclassical diffusion equation with delay term b ( t , u t ) which contains some hereditary characteristics.
Yuming Qin, Qitao Cai
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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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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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Local equi-attraction of pullback attractor sections

Journal of Mathematical Analysis and Applications, 2021
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Li, Fuzhi, Xin, Jie, Cui, Hongyong, Kloeden, Peter E.   +3 more
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Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator

Studies in applied mathematics (Cambridge)
In this paper, we consider the asymptotic behavior of weak solutions for nonclassical nonautonomous diffusion equations with a delay operator in time‐dependent spaces when the nonlinear function g$g$ satisfies subcritical exponent growth conditions, the ...
Bin Yang, Yuming Qin, Alain Miranville, Ke Wang   +3 more
semanticscholar   +1 more source