Results 91 to 100 of about 754,834 (272)

Pullback 𝒟-Attractor of Nonautonomous Three-Component Reversible Gray-Scott System on Unbounded Domains

open access: yesAbstract and Applied Analysis, 2013
The long time behavior of solutions of the nonautonomous three-components reversible Gray-Scott system defined on the entire space ℝn is studied when the external forcing terms are unbounded in a phase space.
Anhui Gu
doaj   +1 more source

An exponential growth condition in H^2 for the pullback attractor of a non-autonomous reaction-diffusion equation [PDF]

open access: yes, 2001
Some exponential growth results for the pullback attractor of a reaction-diffusion when time goes to ÂĄ1 are proved in this paper. First, a general result about Lp\H1 0 exponential growth is established.
Anguiano Moreno, MarĂ­a   +2 more
core  

Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type [PDF]

open access: yes, 2019
The analysis of the long-term behavior of the mathematical model of a neural network constitutes a suitable framework to develop new tools for the dynamical description of nonautonomous state-dependent delay equations (SDDEs).
Elia, Cinzia   +3 more
core   +2 more sources

Probabilistic continuity of a pullback random attractor in time-sample

open access: yesDiscrete & Continuous Dynamical Systems - B, 2020
Given a time-sample dependent attractor of a random dynamical system, we study its lower semi-continuity in probability along the time axis, and the criteria are established by using the local-sample asymptotically compactness for a triple-continuous ...
Shulin Wang, Yangrong Li
semanticscholar   +1 more source

The Picard group in equivariant homotopy theory via stable module categories

open access: yesJournal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley   +1 more source

The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor [PDF]

open access: yes, 2014
The dichotomy spectrum is introduced for linear mean-square random dynamical systems, and it is shown that for finite-dimensional mean-field stochastic differential equations, the dichotomy spectrum consists of finitely many compact intervals. It is then
Doan, Thai Son   +2 more
core   +1 more source

Pullback attractor for a dynamic boundary non-autonomous problem with Infinite Delay

open access: yes, 2017
In this work we prove the existence of solution for a p-Laplacian non-autonomous problem with dynamic boundary and infinite delay. We ensure the existence of pullback attractor for the multivalued process associated to the non-autonomous problem we are ...
R. Samprogna, T. Caraballo
semanticscholar   +1 more source

Chemostat models with Monod and Haldane consumption functions and random environmental fluctuations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7412-7431, 15 May 2025.
In this paper, we study the asymptotic dynamics of two chemostat models with random environmental fluctuations modeled by means of real noise, where different consumption functions for the consumer species (Monod and Haldane) are taking into account. For each model, our main goal is to investigate the existence of deterministic attracting sets.
TomĂĄs Caraballo   +2 more
wiley   +1 more source

Regularity and Exponential Growth of Pullback Attractors for Semilinear Parabolic Equations Involving the Grushin Operator

open access: yesAbstract and Applied Analysis, 2012
Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain ℩.
Nguyen Dinh Binh
doaj   +1 more source

Learning Metric Fields for Fast Low‐Distortion Mesh Parameterizations

open access: yesComputer Graphics Forum, Volume 44, Issue 2, May 2025.
Abstract We present a fast and robust method for computing an injective parameterization with low isometric distortion for disk‐like triangular meshes. Harmonic function‐based methods, with their rich mathematical foundation, are widely used. Harmonic maps are particularly valuable for ensuring injectivity under certain boundary conditions. In addition,
G. Fargion, O. Weber
wiley   +1 more source

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