Results 61 to 70 of about 206 (175)

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation

Complexity, 2020
Some dynamics behaviors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with additive white noise are considered. The existence of pullback random attractors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with
Yanfeng Guo, Chunxiao Guo, Yongping Xi
doaj   +1 more source

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, Rasmussen, Martin, Siegmund, Stefan   +2 more
openaire   +2 more sources

Existence of pullback attractors for the coupled suspension bridge equations

Electronic Journal of Differential Equations, 2011
In this article, we study the existence of pullback D-attractors for the non-autonomous coupled suspension bridge equations with hinged ends and clamped ends, respectively.
Qiaozhen Ma, Binli Wang
doaj  

Random attractors of Kirchhoff-type reaction–diffusion equations without uniqueness driven by nonlinear colored noise

Open Mathematics
In this article, we consider the asymptotic behavior of solutions for the Kirchhoff-type reaction–diffusion equations driven by a nonlinear colored noise defined on unbounded domains. We prove the existence and uniqueness of pullback random attractors by
Zhang Zhang, Yao Xiaobin
doaj   +1 more source

Pullback attractors for non-autonomous reaction–diffusion equation with infinite delays in Cγ,Lr(Ω) $C_{\gamma,L^{r}(\Omega)}$ or Cγ,W1,r(Ω) $C_{\gamma,W^{1,r}(\Omega)}$

Boundary Value Problems, 2018
In this paper, the well-posedness for the non-autonomous reaction–diffusion equation with infinite delays on a bounded domain is established. The existence of pullback attractors for the process in Cγ,Lr(Ω) $C_{\gamma,L^{r}(\Omega)}$ and Cγ,W1,r(Ω) $C_ ...
Yanping Ran, Jing Li
doaj   +1 more source

Nonautonomous attractors of skew-product flows with digitized driving systems

Electronic Journal of Differential Equations, 2001
The upper semicontinuity and continuity properties of pullback attractors for nonautonomous differential equations are investigated when the driving system of the generated skew-product flow is digitized.
R. A. Johnson, Peter E. Kloeden
doaj  

Entropy Increase in Switching Systems

Entropy, 2013
The relation between the complexity of a time-switched dynamics and the complexity of its control sequence depends critically on the concept of a non-autonomous pullback attractor.
Ángel Giménez, Peter E. Kloeden, José M. Amigó   +2 more
doaj   +1 more source

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 
openaire   +2 more sources

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, Chengkui Zhong, Shengfan Zhou   +2 more
openaire   +2 more sources