Results 11 to 20 of about 6,906 (308)

Compact global attractors of discrete inclusions [PDF]

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2006
The aim of this paper is the study of the existence of compact global attractors of discrete inclusions and control systems. More precisely, on the metric space \(W\), the authors consider a discrete inclusion \(u_{t+1}\in F(u_t)\), associated with \({\mathfrak M}:= \{f_j,j\in J\}\), where \(F(u)= \{f(u)\mid f\in{\mathfrak M}\}\) for all \(u\in W ...
D. CHEBAN, MAMMANA, Cristiana
openaire   +3 more sources

On the regularity of global attractors

open access: yesDiscrete and Continuous Dynamical Systems, 2009
11 ...
CONTI, MONICA, PATA, VITTORINO
openaire   +4 more sources

Global Attractors in H1(ℝN) for Nonclassical Diffusion Equations

open access: yesDiscrete Dynamics in Nature and Society, 2012
We study the existence of global attractors for nonclassical diffusion equations in H1(ℝN). The nonlinearity satisfies the arbitrary order polynomial growth conditions.
Qiao-zhen Ma   +2 more
doaj   +2 more sources

Global attractors for non-linear viscoelastic equation with strong damping

open access: yesNonlinear Analysis, 2013
In this paper, we consider the long-time dynamical behavior of the viscoelastic equations with strong damping and further prove the existence of global attractors for this system.
Zhiyong Ma
doaj   +3 more sources

Global attractors for a tropical climate model

open access: yes, 2023
summary:This paper is devoted to the global attractors of the tropical climate model. We first establish the global well-posedness of the system. Then by studying the existence of bounded absorbing sets, the global attractor is constructed. The estimates
Han, Pigong   +3 more
core   +1 more source

Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]

open access: yes, 2009
This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A.   +3 more
core   +1 more source

Parametrization of global attractors experimental observations and turbulence [PDF]

open access: yes, 2007
This paper is concerned with rigorous results in the theory of turbulence and fluid flow. While derived from the abstract theory of attractors in infinite-dimensional dynamical systems, they shed some light on the conventional heuristic theories of ...
Robinson, James C.
core   +1 more source

Structure of the Global Attractors in a Model for Ectoparasite Borne Diseases

open access: yesBiomath, 2012
We delineate a mathematical model for the dynamics of the spread of ectoparasites and the diseases transmitted by them. We present how the dynamics of the system depends on the three reproduction numbers belonging to three of the four possible equilibria
Attila Dénes, Gergely Röst
doaj   +1 more source

The asymptotic behaviors of solutions for higher-order (m1, m2)-coupled Kirchhoff models with nonlinear strong damping

open access: yesDemonstratio Mathematica, 2023
The Kirchhoff model is derived from the vibration problem of stretchable strings. This article focuses on the long-time dynamics of a class of higher-order coupled Kirchhoff systems with nonlinear strong damping.
Lv Penghui, Lin Guoguang, Lv Xiaojun
doaj   +1 more source

On finite-dimensional global attractors of homeomorphisms [PDF]

open access: yesBulletin of the London Mathematical Society, 2016
Let E be a normed linear space and suppose that A is the global attractor of either (i) a homeomorphism F : E → E or (ii) a semigroup S(·) on E that is injective on A. In both cases, A has trivial shape, and the dynamics on A can be described by a homeomorphism F: A → A (in the second case we set F = S(t) for some t > 0).
Robinson, James C.   +1 more
openaire   +3 more sources

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