Results 31 to 40 of about 1,961 (190)
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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Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations
Discrete Dynamics in Nature and Society, 2018 We consider the backwards topological property of pullback attractors for the nonautonomous MHD equations. Under some backwards assumptions of the nonautonomous force, it is shown that the theoretical existence result for such an attractor is derived ...
Jiali Yu, Wenhuo Su, Dongmei Xu
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Time-Dependent Attractor for the Oscillon Equation [PDF]
, 2010 We investigate the asymptotic behavior of the nonautonomous evolution problem generated by the Klein-Gordon equation in an expanding background, in one space dimension with periodic boundary conditions, with a nonlinear potential of arbitrary polynomial ...
Di Plinio, Francesco +2 more
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Pullback attractors for generalized evolutionary systems
Discrete & Continuous Dynamical Systems - B, 2015 We give an abstract framework for studying nonautonomous PDEs, called a generalized evolutionary system. In this setting, we define the notion of a pullback attractor. Moreover, we show that the pullback attractor, in the weak sense, must always exist. We then study the structure of these attractors and the existence of a strong pullback attractor.
Kavlie, Landon, Cheskidov, Alexey
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Pullback Attractors for Stochastic Young Differential Delay Equations [PDF]
Journal of Dynamics and Differential Equations, 2020 We study the asymptotic dynamics of stochastic Young differential delay equations under the regular assumptions on Lipschitz continuity of the coefficient functions. Our main results show that, if there is a linear part in the drift term which has no delay factor and has eigenvalues of negative real parts, then the generated random dynamical system ...
Cong, N., Luu, H., Hong, P.
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Pullback attractors for asymptotically compact non-autonomous dynamical systems [PDF]
, 2006 First, we introduce the concept of pullback asymptotically compact non-autonomous dynamical system as an extension of the similar concept in the autonomous framework.
Caraballo Garrido, Tomás +2 more
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On attractors, spectra and bifurcations of random dynamical systems [PDF]
, 2015 In this thesis a number of related topics in random dynamical systems theory are studied: local attractors and attractor-repeller pairs, the exponential dichotomy spectrum and bifurcation theory.
Callaway, Mark
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On the Dynamics of Nonautonomous Parabolic Systems Involving the Grushin Operators
International Journal of Mathematics and Mathematical Sciences, 2011 We study the long-time behavior of solutions to nonautonomous semilinear parabolic systems involving the Grushin operators in bounded domains. We prove the existence of a pullback D-attractor in (L2(Ω))m for the corresponding process in ...
Anh Cung The, Toi Vu Manh
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Dynamics of wave equations with moving boundary [PDF]
, 2017 This paper is concerned with long-time dynamics of weakly damped semilinear wave equations defined on domains with moving boundary. Since the boundary is a function of the time variable the problem is intrinsically non-autonomous.
Ma, To Fu +2 more
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Pullback attractors of nonautonomous reaction–diffusion equations
Journal of Mathematical Analysis and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song, Haitao, Wu, Hongqing
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