Results 221 to 230 of about 6,795 (265)

Global attractors for a vegetation model

Asymptotic Analysis, 2011
In this article, a rigorous mathematical treatment of the dryland vegetation model introduced by Gilad et al. [Phys. Rev. Lett. 98(9) (2004), 098105-1–098105-4, J. Theoret. Biol. 244 (2007), 680–691] is presented. We prove the existence and uniqueness of solutions in (L 1 (Ω))
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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
Enrico Formenti, Luca Manzoni, Antonio E. Porreca   +2 more
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Global attractor for the regularized Bénard problem

Applicable Analysis, 2014
In this paper, we study the asymptotic behaviour of weak solutions for the regularized Benard problem. We establish the global existence and uniqueness of weak solutions of this problem and give a proof for the existence of global attractor in the three-dimensional case for this system.
ÇELEBİ, AHMET OKAY, KAYA, MERYEM
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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 attractor of atmospheric equations

Asymptotic Analysis, 2016
We consider the three-dimensional primitive equations of the atmosphere with humidity and saturation associated with suitable boundary conditions. These equations have been shown to lead to well-posed problem producing a continuous semigroup despite the discontinuities due to the change of phase between vapor water and liquid water. In this article, we
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Global attractor for a modified Swift–Hohenberg equation

Computers and Mathematics With Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nontrivial Global Attractors in 2-D Multistable Attractor Neural Networks

IEEE Transactions on Neural Networks, 2009
Attractor dynamics is a crucial problem for attractor neural networks, as it is the underling computational mechanism for memory storage and retrieval in neural systems. This brief studies a class of attractor network consisting of linearized threshold neurons, and analyzes global attractors based on a parameterized 2-D model.
Lan Zou, Huajin Tang, Kay Chen Tan, Weinian Zhang   +3 more
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Global Attractors and Robustness of the Boissonade System

Journal of Dynamics and Differential Equations, 2014
In this paper, the author proves the existence of a global attractor for the weak semiflow of a Boissonade system with quadratic and cubic parameters. Also, the upper semicontinuity in the \(H^1\) product space is proved, using uniform estimates with respect to the parameter.
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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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Compact Global Attractors

2020
The second chapter of this book is dedicated to the study of different kinds of dissipativity for dynamical systems (both autonomous and nonautonomous): point, compact, local, bounded, and weak. Criteria for point, compact, and local dissipativity are given.
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