Results 81 to 90 of about 4,947,310 (278)

The Existence of a Global Attractor for the S-K-T Competition Model with Self-Diffusion

Abstract and Applied Analysis, 2014
This paper concerns the uniform bounds of the global existence of solutions in time for the S-K-T competition model with self-diffusion.
Qian Xu, Ye Zhao
doaj   +1 more source

Attractors for a deconvolution model of turbulence [PDF]

arXiv, 2008
We consider a deconvolution model for 3D periodic flows. We show the existence of a global attractor for the model.
arxiv  

Attractors of direct products [PDF]

arXiv, 2020
For Milnor, statistical, and minimal attractors, we construct examples of smooth flows $\varphi$ on $S^2$ for which the attractor of the Cartesian square of $\varphi$ is smaller than the Cartesian square of the attractor of $\varphi$. In the example for the minimal attractors, the flow $\varphi$ also has a global physical measure such that its square ...
arxiv  

Global Attractor for Partial Functional Differential Equations with State-Dependent Delay

Abstract and Applied Analysis, 2013
This work aims to investigate the existence of global attractors for a class of partial functional differential equations with state-dependent delay. Using the classic theory about global attractors in infinite dimensional dynamical systems, we obtain ...
Zhimin He, Bo Du
doaj   +1 more source

Morse Theory of Attractors via Lyapunov Functions [PDF]

arXiv, 2010
This paper is concerned with the Morse theory of attractors for semiflows on complete metric spaces. First, we construct global Morse-Lyapunov functions for Morse decompositions of attractors. Then we extend some well known deformation results in the critical-point theory to Morse-Lyapunov functions which are only continuous.
arxiv  

Long-time behavior of 3D Stochastic Planetary Geostrophic Viscous Model [PDF]

arXiv, 2015
This paper reports the 3D planetary geostrophic viscous model has the exponential ergodicity and global attractor if this model is driven by an additive random noise, which results in the support of the integration of invariant measure for the dynamic is exactly a minimal global attractor.
arxiv  

Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems

Wasit Journal for Pure Sciences
The main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov   function.
Hind Adnan Hashim
doaj   +1 more source

Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor. [PDF]

Qual Theory Dyn Syst, 2023
Rezounenko A.
europepmc   +1 more source

Global Attractor for a Chemotaxis Model with Reaction Term

Journal of Applied Mathematics, 2013
A chemotaxis model with reproduction term in a bounded domain Ω⊂Rn is discussed in this paper, where n=2,3. First, the existence of a global-in-time solution is given, and then a global attractor for this model is obtained.
Xueyong Chen, Jianwei Shen
doaj   +1 more source

A minimal approach to the theory of global attractors

Discrete & Continuous Dynamical Systems - A, 2012
For a semigroup $S(t):X\to X$ acting on a metric space $(X,d)$, we give a notion of global attractor based only on the minimality with respect to the attraction property. Such an attractor is shown to be invariant whenever $S(t)$ is asymptotically closed.
V. V. Chepyzhov, CONTI, MONICA, PATA, VITTORINO   +2 more
openaire   +3 more sources