{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T03:55:55Z","timestamp":1648612555178},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2005,11]]},"abstract":"<jats:p> Individual sites in spatially extended systems of coupled identical maps may exhibit chaotic behavior even if their intrinsic (local) dynamics is regular and stable. For this to happen it is imperative that the spatial interactions are sufficiently strong. So far, this scenario of generating chaos from simple local dynamics has been established rigorously only for special, very narrow classes of local maps. The present article largely extends previous results by showing that the corresponding mechanism of peak-crossing is in fact very general and robust: whenever the local map is sufficiently expanding and exhibits a horseshoe then the emergence of spatial intermittency will be observed in the form of chaotically oscillating sites surrounded by quasi-regular clusters. The results firmly establish peak-crossing as a natural scenario on the route to spacetime chaos. <\/jats:p>","DOI":"10.1142\/s021812740501426x","type":"journal-article","created":{"date-parts":[[2006,2,6]],"date-time":"2006-02-06T09:49:18Z","timestamp":1139219358000},"page":"3607-3621","source":"Crossref","is-referenced-by-count":0,"title":["CHAOS IN SPATIALLY EXTENDED SYSTEMS VIA THE PEAK-CROSSING BIFURCATION"],"prefix":"10.1142","volume":"15","author":[{"given":"ARNO","family":"BERGER","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"LEONID A.","family":"BUNIMOVICH","sequence":"additional","affiliation":[{"name":"School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/13\/4\/301"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(96)00261-8"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/1\/4\/001"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(95)00105-D"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/9\/5\/010"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-1573(97)00060-4"},{"key":"rf7","first-page":"1","volume":"103","author":"Chat\u00e9 H.","journal-title":"Physica D"},{"key":"rf8","volume-title":"Theory and Applications of Coupled Map Lattices. Nonlinear Science: Theory and Applications","author":"Kaneko K.","year":"1993"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511809187"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.2307\/2589144"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/7\/6\/006"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.2307\/2695529"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021812740501426X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T15:03:33Z","timestamp":1565190213000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021812740501426X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,11]]},"references-count":12,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2005,11]]}},"alternative-id":["10.1142\/S021812740501426X"],"URL":"https:\/\/doi.org\/10.1142\/s021812740501426x","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,11]]}}}