Results 321 to 330 of about 5,259,770 (378)

Global attractors and approximate inertial

Applicable Analysis, 1993
An abstract nonautonomous differential equation, u' + Au + F(u) = f ( t ) , is considered using assumptions appropriate for systems of reaction-diffusion equations on multi-dimensional spatial domains. A priori estimates establish the existence of absorbing balls in relevant function spaces, and nonsequently the existence of a global attractor is ...
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Global Attractors for a Nonclassical Diffusion Equation

Acta Mathematica Sinica, English Series, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Chun You, Wang, Su Yun, Zhong, Cheng Kui   +2 more
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Global attractors for piezoelectric solids

ANNALI DELL UNIVERSITA DI FERRARA, 2004
The Galerkin method is applied to study an hyperbolic-elliptic initial-boundary value problem in the theory of piezoelectric solids. We prove that the semigroup generated by the corresponding dynamical system has a global attractor.
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Global attractors for autonomous evolution equations

2012
Chapter 2 is concerned with large time behaviour of solutions of evolution equations in terms of the global attractor, its existence and properties. Note that, good estimates on the dimension of attractors in terms of biological (medical, physical etc.) parameters are crucial for the finite-dimensional reduction and at present there exists a highly ...
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Synchronization, attractor fission, and attractor fusion in a globally coupled laser system

Physical Review A, 1992
A globally coupled class-B laser array with incoherent feedback is proposed for exploring the complex dynamics of dynamical systems with the highest connectivity. This feedback shows a fundamental characteristic, information lag, and results in the general features of synchronization, attractor fission, and attractor fusion processes.
, Otsuka, , Chern
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Global attractor for Hasegawa-Mima equation

Applied Mathematics and Mechanics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Ruifeng, Guo, Boling
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Global Attractors and Basic Turbulence

1994
We consider a dynamical system defined by a nonlinear partial differential equation (PDE) on a Banach space X. If for reasonably smooth initial data there exist unique solutions exhibiting complex nonlocal irregular behaviour, we say that the system is turbulent.
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Global Attractors of Nonautonomous Difference Equations

2006
The article is devoted to the study of global attractors of quasi-linear non-autonomous difference equations, in particular we give the conditions for the existence of a compact global attractor. The obtained results are applied to the study of a triangular economic growth model recently developed by Brianzoni S., Mammana C. and Michetti E.
D. CHEBAN, MAMMANA, Cristiana, MICHETTI, ELISABETTA   +2 more
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Global Attractors: Topology and Finite-Dimensional Dynamics

Journal of Dynamics and Differential Equations, 1999
Many dissipative evolution equations possess a global attractor \(A\) with finite Hausdorff dimension \(d\). The existence of such an attractor naturally leads to the question of whether there is a finite-dimensional system that will adequately capture the asymptotic nature of the original flow.
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Cycles and Global Attractors of Reaction Systems

2014
Reaction systems are a recent formal model inspired by the chemical reactions that happen inside cells and possess many different dynamical behaviours. In this work we continue a recent investigation of the complexity of detecting some interesting dynamical behaviours in reaction system. We prove that detecting global behaviours such as the presence of
Formenti, E, MANZONI, LUCA, PORRECA, ANTONIO ENRICO   +2 more
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