Results 21 to 30 of about 754,834 (272)
Unraveling Hierarchical Brain Dysfunction in Major Depressive Disorder: A Multimodal Imaging and Transcriptomic Approach. [PDF]
Hum Brain MappDysfunctional hierarchy in major depressive disorder (MDD) features decreased SDI in regions linked to high‐order cognitive functions, like the prefrontal, parietal, and orbitofrontal cortices. Conversely, areas related to low‐level sensory‐motor functions, the somatosensory cortex, showed increased SDI in MDD.
Xiayan C +8 more
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Continuity of selected pullback attractors [PDF]
Partial Differential Equations and Applications, 2021 In this work we obtain theoretical results on continuity of selected pullback attractors and we apply them to reaction diffusion equations with dynamical boundary ...
Rodrigo A. Samprogna, Jacson Simsen
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PULLBACK AND FORWARD ATTRACTORS FOR A DAMPED WAVE EQUATION WITH DELAYS [PDF]
Stochastics and Dynamics, 2004 The existence of a pullback (and also a uniform forward) attractor is proved for a damped wave equation containing a delay forcing term which, in particular, covers the models of sine–Gordon type. The result follows from the existence of a compact set which is uniformly attracting for the two-parameter semigroup associated to the model.
Tomás Caraballo +2 more
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Pullback attractors of nonautonomous dynamical systems
Discrete & Continuous Dynamical Systems - A, 2006 We present the necessary and sufficient conditions and a new method to study the existence of pullback attractors of nonautonomous infinite dimensional dynamical systems. For illustrating our method, we apply it to nonautonomous 2D Navier-Stokes systems.
Yejuan Wang +2 more
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Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise
Abstract and Applied Analysis, 2014 Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval I in R.
Yangrong Li, Hongyong Cui
doaj +2 more sources
The pullback attractor for the 2D g-Navier-Stokes equation with nonlinear damping and time delay
AIMS Mathematics, 2023 In this article, the global well-posedness of weak solutions for 2D non-autonomous g-Navier-Stokes equations on some bounded domains were investigated by the Faedo-Galerkin method.
Xiaoxia Wang, Jinping Jiang
semanticscholar +1 more source
Pullback attractor for a weakly damped wave equation with sup-cubic nonlinearity
Discrete and Continuous Dynamical Systems. Series A, 2021 In this paper, the non-autonomous dynamical behavior of weakly damped wave equation with a sup-cubic nonlinearity is considered in locally uniform spaces.
Xinyu Mei, Yangmin Xiong, Chunyou Sun
semanticscholar +1 more source
Continuity of pullback and uniform attractors [PDF]
Journal of Differential Equations, 2018 We study the continuity of pullback and uniform attractors for non-autonomous dynamical systems with respect to perturbations of a parameter. Consider a family of dynamical systems parameterised by a complete metric space $ $ such that for each $ \in $ there exists a unique pullback attractor $\mathcal A_ (t)$. Using the theory of Baire category we
Luan T. Hoang +2 more
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Statistical solution and piecewise Liouville theorem for the impulsive discrete Zakharov equations
AIMS Mathematics, 2022 This article studies the discrete Zakharov equations with impulsive effect. The authors first prove that the problem is global well-posed and that the process formed by the solution operators possesses a pullback attractor. Then they establish that there
Binbin Miao, Chongbin Xu, Caidi Zhao
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Existence of pullback attractors for pullback asymptotically compact processes [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2010 This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) i) An autonomous evolution process which is bounded dissipative and asymptotically compact has a global attractor.
Caraballo Garrido, Tomás +3 more
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