Results 91 to 100 of about 503 (210)
Invariant manifolds as pullback attractors of nonautonomous differential equations
Discrete and Continuous Dynamical Systems, 2005 We discuss the relationship between invariant manifolds of nonautonomous differential equations and pullback attractors. This relationship is essential, e.g., for the numerical approximation of these manifolds. In the first step, we show that the unstable manifold is the pullback attractor of the differential equation.
Aulbach, Bernd +2 more
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Random attractors for stochastic lattice reversible Gray-Scott systems with additive noise
Electronic Journal of Differential Equations, 2015 In this article, we prove the existence of a random attractor of the stochastic three-component reversible Gray-Scott system on infinite lattice with additive noise.
Hongyan Li, Junyi Tu
doaj
Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation
Abstract and Applied Analysis, 2011 This paper is devoted to the study of mild solutions for the initial and boundary value problem of stochastic viscous Cahn-Hilliard equation driven by white noise. Under reasonable assumptions we first prove the existence and uniqueness result.
Xuewei Ju +3 more
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Advances in Mathematical Physics, 2019 In this paper, the existence of random attractors for nonautonomous stochastic reversible Selkov system with multiplicative noise has been proved through Ornstein-Uhlenbeck transformation.
Chunxiao Guo, Yanfeng Guo, Xiaohan Li
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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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Uniform boundedness of the attractor in $H^2$ of a non-autonomous epidemiological system [PDF]
, 2018 In this paper, we prove the uniform boundedness of the pullback attractor of a non-autonomous SIR (susceptible, infected, recovered) model from epidemiology considered in Anguiano and Kloeden (2014). We prove two uniform bounds of this pullback attractor,
María Anguiano +2 more
core +1 more source
Pullback attractor analysis of a periodically forced QG model
, 2013 The classical concept of attractor of an autonomous dissipative dynamical system can be generalized to the non-autonomous case by defining a time-dependent attractor in the pullback sense, the so-called pullback attractor (PBA).
PIERINI, Stefano
core
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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Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]
Proc Natl Acad Sci U S A, 2023 Pinsky T.
europepmc +1 more source
Dynamics of Fractional Delayed Reaction-Diffusion Equations. [PDF]
Entropy (Basel), 2023 Liu L, Nieto JJ.
europepmc +1 more source