Results 11 to 20 of about 8,097 (311)
Simplicial Models for the Global Dynamics of Attractors
Journal of Differential Equations, 2000 The author considers a flow \(\phi\) on a compact metric space \(\mathcal{A}\) which has a Morse decomposition \(\{S_p\}_{p\in P}\) indexed by the partially ordered set \((P,
Christopher McCord
openalex +3 more sources
Global Attractor of Atmospheric Circulation Equations with Humidity Effect [PDF]
Abstract and Applied Analysis, 2012 Global attractor of atmospheric circulation equations is considered in this paper. Firstly, it is proved that this system possesses a unique global weak solution in L2(Ω,R4).
Hong Luo
openalex +2 more sources
The existence of a compact global attractor for a class of competition model
AIMS Mathematics, 2021 This paper is concerned with the existence of a compact global attractor for a class of competition model in n−dimensional (n ≥ 1) domains. Using mathematical induction and more detailed interpolation estimates, especially Gagliardo-Nirenberg inequality,
Yanxia Wu
doaj +1 more source
AIMS Mathematics, 2022 We consider a time semidiscretization of the Ginzburg-Landau equation by the backward Euler scheme. For each time step τ, we build an exponential attractor of the dynamical system associated to the scheme.
Narcisse Batangouna
doaj +1 more source
The Construction of Global Attractors [PDF]
Proceedings of the American Mathematical Society, 1990 The purpose of this note is to show that every inverse limit space of an interval mapping can be realized as a global attractor for a homeomorphism of the plane.
Marcy Barge, Joe Martin
openaire +2 more sources
Time-dependent asymptotic behavior of the solution for evolution equation with linear memory
AIMS Mathematics, 2023 In this article, by using the operator decomposition technique, we discuss the existence of a time-dependent global attractor for a nonlinear evolution equation with linear memory within the theory of time-dependent space. Furthermore, the regularity and
Tingting Liu +2 more
doaj +1 more source
On the continuity of global attractors [PDF]
Proceedings of the American Mathematical Society, 2015 Let $ $ be a complete metric space, and let $\{S_ (\cdot):\ \in \}$ be a parametrised family of semigroups with global attractors ${\mathscr A}_ $. We assume that there exists a fixed bounded set $D$ such that ${\mathscr A}_ \subset D$ for every $ \in $.
Eric Olson +2 more
openaire +3 more sources
On the Residual Continuity of Global Attractors
Mathematics, 2022 In this brief paper, we studied the residual continuity of global attractors Aλ in varying parameters λ∈Λ with Λ a bounded Borel set in Rd. We first reviewed the well-known residual continuity result of global attractors and then showed that this residual continuity is equivalent to the dense continuity. Then, we proved an analogue continuity result in
Xingxing Wang, Hongyong Cui
openaire +2 more sources
Embedding of global attractors and their dynamics [PDF]
Proceedings of the American Mathematical Society, 2011 Using shape theory and the concept of cellularity, we show that if $A$ is the global attractor associated with a dissipative partial differential equation in a real Hilbert space $H$ and the set $A-A$ has finite Assouad dimension $d$, then there is an ordinary differential equation in ${\mathbb R}^{m+1}$, with $m >d$, that has unique solutions and ...
Eleonora Pinto de Moura +2 more
openaire +3 more sources
Pullback attractor for a nonlocal discrete nonlinear Schrödinger equation with delays
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a nonlocal discrete nonlinear Schrödinger equation with delays. We prove that the process associated with the non-autonomous model possesses a pullback attractor.
Jardel Pereira
doaj +1 more source