{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T15:19:26Z","timestamp":1772291966132,"version":"3.50.1"},"reference-count":39,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2008,3]]},"abstract":"<jats:p> We study the asymptotic behavior of nonautonomous discrete Reaction\u2013Diffusion systems defined on multidimensional infinite lattices. We show that the nonautonomous systems possess uniform attractors which attract all solutions uniformly with respect to the translations of external terms when time goes to infinity. These attractors are compact subsets of weighted spaces, and contain all bounded solutions of the system. The upper semicontinuity of the uniform attractors is established when an infinite-dimensional reaction\u2013diffusion system is approached by a family of finite-dimensional systems. We also examine the limiting behavior of lattice systems with almost periodic, rapidly oscillating external terms in weighted spaces. In this case, it is proved that the uniform global attractors of nonautonomous systems converge to the global attractor of an averaged autonomous system. <\/jats:p>","DOI":"10.1142\/s0218127408020598","type":"journal-article","created":{"date-parts":[[2008,6,10]],"date-time":"2008-06-10T05:41:46Z","timestamp":1213076506000},"page":"695-716","source":"Crossref","is-referenced-by-count":6,"title":["UNIFORM ATTRACTORS OF NONAUTONOMOUS DISCRETE REACTION\u2013DIFFUSION SYSTEMS IN WEIGHTED SPACES"],"prefix":"10.1142","volume":"18","author":[{"given":"BIXIANG","family":"WANG","sequence":"first","affiliation":[{"name":"Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127494000459"},{"key":"rf2","volume-title":"Attractors of Evolution Equations","author":"Babin A. 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