Pullback Attractor
\(H^{2}\)-boundedness of the pullback attractor of the micropolar fluid flows with infinite delays
... the pullback attractor and investigated its tempered behavior for Navier-Stokes equations in bounded ...the pullback attractors of the Navier- Stokes equations in ...of pullback attractors for ...
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Random pullback attractor of a non-autonomous local modified stochastic Swift-Hohenberg with multiplicative noise
... -pullback attractor of a non-autonomous local modified stochastic Swift-Hohenberg equation with multiplicative noise in stratonovich ...-pullback attractor exists in H 2 0 ( D ) when its ...
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Pullback attractor for N-dimensional thermoelastic coupled structure equations
... global attractor in the autonomous case to the nonautonomous case, which led to the concept of a uniform ...uniform attractor [6] was not applicable to nonautonomous systems with possibly unbounded ...
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Pullback \(\mathcal{D}\)-attractors for three-dimensional Navier-Stokes equations with nonlinear damping
... of pullback attractors. Pullback attractor theory is a natural generaliza- tion of the theory of global attractors developed to study autonomous dynamical systems, and it is well suited to study the ...
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The Global and Pullback Attractors for a Strongly Damped Wave Equation with Delays*
... (1.1). The key is to deal with the nonlinear terms and the delay term is difficult to be handled, so we aimed at showing that it is dissipative and the solution is bounded and continuous with respect to initial value. ...
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Pullback Attractors for Nonclassical Diffusion Equations in Noncylindrical Domains
... with appropriate function spaces, and then we establish the existence and uniqueness over a finite time interval of variational solutions. Next, we show that the process of two parameter generated by such solutions has a ...
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Pullback attractors for a two phase flow model in an infinite delay case
... In this section we will prove the existence of a pullback attractor for the problem () with the distributed delay under additional assumptions. We firstly recall some basic defini- tions and main results ...
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Uniform Exponential Attractors for Non Autonomous Strongly Damped Wave Equations
... In the present article, we study exponential attractors of the system (1.1) based on the concept of a non-au- tonomous (pullback) attractor. Thus, in the approach, an exponential attractor is also ...
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Asymptotic behavior of the thermoelastic suspension bridge equation with linear memory
... of pullback attractor for a nonautonomous suspension bridge equation with linear damping and in [] obtained the existence of global attractors for the suspension bridge equations with nonlinear ...of ...
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Pullback Exponential Attractors for Nonautonomous Reaction Diffusion Equations in H01
... global attractor, see ...of pullback attractor, see [7]-[9]. Recently, the theory of pullback exponential attractor have been developed, see [1]-[3], and some methods are given to prove ...
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The Global Attractor of Thermoelastic Coupled System
... for weakly damped nonlinear wave Equation (2) as α, ε = 0 is studied in Temam [1] and Zhu [2] and Wang [3] and the one for the strongly damped nonlinear wave equation is considered in Zhou [4]. Semion [5] shows the ...
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Category of Attractor and Its Application
... global attractor has the same shape as the state ...global attractor for a class of symmetric p-Laplacian equations by means of Z 2 index, obtained some lower estimates for the fractal dimension of the ...
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Expectations, Price Fluctuations and Lorenz Attractor
... Lorenz attractor equations can have impact on forecasting macro financial variables and on assessments of option ...Lorenz attractor as only a possible case for description of chaotic processes in financial ...
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Solar storms, cycles and topology
... to the boxes, so instead we added new boxes containing these returns. For these new boxes, we again checked the returns, and this process was repeated several times. This process eventually stopped, and no more boxes ...
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A non reward attractor theory of depression
... Non-Reward attractor neuronal populations in a single network (Rolls and Deco, ...Reward attractor neurons after an expected reward input is received can lead to activation of the Non-Reward ...
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Attractor of Cantor type with positive measure
... an attractor of some IFS (see [2]), and moreover, that typical closed sets in [0, 1] can not be attractors of any IFS (see ...an attractor for any IFS composed of weak contractions of [0, 1] into itself ...
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Random Attractor of the Stochastic Strongly Damped for the Higher Order Nonlinear Kirchhoff Type Equation
... φ ∇ is also difficult to be conducted. So far as we know, there were no result on random attractor for the stochastic higher-order Kirchhoff-type equ- ation with nonlinear strongly dissipation and white noise. It ...
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Pullback attractors for three-dimensional Navier-Stokes-Voigt equations with delays
... This paper is organized as follows. In Section , we recall briefly some results on the abstract theory of pullback attractors. In Section , we introduce some abstract spaces necessary for the variational ...
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Biologically plausible attractor networks
... an attractor network are as ...integrate-and-fire attractor network, the small fluctua- tions in the firing of each neuron in the whole large population with its global inhibition will result in the noise, ...
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Mathematical Modeling of the Flight of the Starlings A Particular Case of an Attractor Repeller Pairs
... concept attractor repeller pair, with a demonstration we will see that the fractal set called attractor is the complementary set of the repeller, and by means of an algorithm in Matlab code from a ...
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