{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T15:24:29Z","timestamp":1649172269171},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Stoch. Dyn."],"published-print":{"date-parts":[[2015,12]]},"abstract":"<jats:p> For cocycles with discrete time, we consider the notion of an exponential dichotomy in mean. This corresponds to replace the classical notion of an exponential dichotomy by the much weaker requirement that the same happens in mean with respect to some probability measure. We show that the exponential behavior in mean is robust, in the sense that it persists under sufficiently small linear perturbations. <\/jats:p>","DOI":"10.1142\/s021949371550029x","type":"journal-article","created":{"date-parts":[[2015,5,19]],"date-time":"2015-05-19T02:39:44Z","timestamp":1432003184000},"page":"1550029","source":"Crossref","is-referenced-by-count":0,"title":["Exponential behavior in mean for cocycles"],"prefix":"10.1142","volume":"15","author":[{"given":"Luis","family":"Barreira","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal"}]},{"given":"Claudia","family":"Valls","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2015,10,14]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781107326026"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1995.1117"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(67)90014-9"},{"key":"rf4","series-title":"Translations of Mathematical Monographs","volume-title":"Stability of Solutions of Differential Equations in Banach Space","volume":"43","author":"Dalec'ki\u012d Ju.","year":"1974"},{"key":"rf5","series-title":"Mathematical Surveys and Monographs","volume-title":"Asymptotic Behavior of Dissipative Systems","volume":"25","author":"Hale J.","year":"1988"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.2307\/1969871"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(97)00423-9"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/BF01194662"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021913903923"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.04.011"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-5037-9"}],"container-title":["Stochastics and Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021949371550029X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T17:02:27Z","timestamp":1565197347000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021949371550029X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,14]]},"references-count":11,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2015,10,14]]},"published-print":{"date-parts":[[2015,12]]}},"alternative-id":["10.1142\/S021949371550029X"],"URL":"https:\/\/doi.org\/10.1142\/s021949371550029x","relation":{},"ISSN":["0219-4937","1793-6799"],"issn-type":[{"value":"0219-4937","type":"print"},{"value":"1793-6799","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,10,14]]}}}