{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T15:03:31Z","timestamp":1772291011110,"version":"3.50.1"},"reference-count":33,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2007,5]]},"abstract":"<jats:p> In this paper, we study the dynamical behavior of nonautonomous, almost-periodic discrete FitzHugh\u2013Nagumo system defined on infinite lattices. We prove that the nonautonomous infinite-dimensional system has a uniform attractor which attracts all solutions uniformly with respect to the translations of external terms. We also establish the upper semicontinuity of uniform attractors when the infinite-dimensional system is approached by a family of finite-dimensional systems. This paper is based on a uniform tail method, which shows that, for large time, the tails of solutions are uniformly small with respect to bounded initial data as well as the translations of external terms. The uniform tail estimates play a crucial role for proving the uniform asymptotic compactness of the system and the upper semicontinuity of attractors. <\/jats:p>","DOI":"10.1142\/s0218127407017987","type":"journal-article","created":{"date-parts":[[2007,8,6]],"date-time":"2007-08-06T06:12:53Z","timestamp":1186380773000},"page":"1673-1685","source":"Crossref","is-referenced-by-count":11,"title":["DYNAMICAL BEHAVIOR OF THE ALMOST-PERIODIC DISCRETE FITZHUGH\u2013NAGUMO SYSTEMS"],"prefix":"10.1142","volume":"17","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":"10.3934\/dcdsb.2005.5.899"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127494000459"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/s003329900037"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/s002050050189"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127401002031"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141000374002"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(81)90085-7"},{"key":"rf8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/qam\/736501","volume":"42","author":"Bell J.","journal-title":"Quart. 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