ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS-Reference-Cited by-同舟云学术

ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS

Published:2001-01 Issue:01 Volume:11 Page:143-153
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

BATES PETER W.¹,LU KENING¹,WANG BIXIANG²

Affiliation:

1. Department of Mathematics, Brigham Young University, Provo, Utah 84602, USA

2. Department of Applied Mathematics, Tsinghua University, Beijing 100084, P.R. China

Abstract

We study the asymptotic behavior of solutions for lattice dynamical systems. We first prove asymptotic compactness and then establish the existence of global attractors. The upper semicontinuity of the global attractor is also obtained when the lattice differential equations are approached by finite-dimensional systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127401002031

Reference28 articles.

1. CHAOS OF TRAVELING WAVES IN A DISCRETE CHAIN OF DIFFUSIVELY COUPLED MAPS

2. Attractors of partial differential evolution equations in an unbounded domain

3. Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes Equations

4. A Discrete Convolution Model¶for Phase Transitions

5. Some threshold results for models of myelinated nerves

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