Synchronization of nonautonomous dynamical systems
Electronic Journal of Differential Equations, 2003 The synchronization of two nonautonomous dynamical systems is considered, where the systems are described in terms of a skew-product formalism, i.
Peter E. Kloeden
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Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays
Abstract and Applied Analysis, 2013 Using a method based on the concept of the Kuratowski measure of the noncompactness of a bounded set as well as some new estimates of the equicontinuity of the solutions, we prove the existence of a unique pullback attractor in higher regularity space ...
Xiaoli Liu, Yejuan Wang
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Focus point on uncertainty quantification of modeling and simulation in physics and related areas: from theoretical to computational techniques. [PDF]
Eur Phys J Plus, 2023 Cortés JC, Caraballo T, Pinto CMA.
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Global analysis and prediction scenario of infectious outbreaks by recurrent dynamic model and machine learning models: A case study on COVID-19. [PDF]
Comput Biol Med, 2023 Rakhshan SA, Nejad MS, Zaj M, Ghane FH.
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THE PULLBACK ATTRACTORS FOR THE NONAUTONOMOUS BRINKMAN-FORCHHEIMER EQUATIONS
Far East Journal of Dynamical Systems, 2008 In this paper, we consider the pullback attractors for the three dimensional nonautonomous Brinkman-Forchheimer equations in bounded domain W. Assuming which is translation bounded, the existence of the pullback attractor for the nonautonomous Brinkman-Forchheimer system is proved in
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Pullback attractors of nonautonomous dynamical systems
Discrete and Continuous Dynamical Systems, 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 of p-Laplacian equation with time-dependent parameters on the entire space
四川大学学报. 自然科学版, 2020 We consider the long-time behavior of the non-autonomous p-Laplacian equation and prove that the process associated with the equation is asymptotically compact, where the forcing term only satisfies an integral condition.
WANG Yi, MA Qiao-Zhen
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Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions. [PDF]
J Dyn Differ Equ, 2022 Huynh H, Kloeden PE, Pötzsche C.
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Results in Applied MathematicsThis paper investigates the well-posedness and long-time dynamics of a class of fractional non-autonomous beam equations with fractional rotational inertia and structural damping or strong damping.
Penghui Lv, Jingxin Lu, Guoguang Lin
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Discrete Dynamics in Nature and Society, 2015 We consider the approximate 3D Kelvin-Voigt fluid driven by an external force depending on velocity with distributed delay. We investigate the long time behavior of solutions to Navier-Stokes-Voigt equation with a distributed delay external force ...
Yantao Guo, Shuilin Cheng, Yanbin Tang
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