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自动化学报 2005
混沌同步稳定性分析及在一个二维广告竞争模型中的应用, PP. 209-215 Keywords: Chaoticsynchronization,riddlingbifurcation,blowoutbifurcation,riddledattractingbasin,advertisingcompetingmodel Abstract: ？Aclassofmapinwhichchaoticsynchronizationcanoccurisdefined.ThetransverseLyapunovexponentsareusedtodeterminethestabilityofsynchronizedtrajectories.Somecomplexphenomenacloselyrelatedtochaoticsynchronization,namelyriddledbasin,riddlingbifurcationandblowoutbifurcationaretheoreticallyanalyzed.Riddlingbifurcationandblowoutbifurcationmaychangethesynchronizationstabilityofthesystem.Andtwotypesofriddledbasins,i.e.,globalriddledbasinandlocalriddledbasin,maycomeintobeingafterriddlingbifurcation.AnadvertisingcompetingmodelbasedonVidale-Wolfemodelisproposedandanalyzedbytheabovetheoriesattheendofthepaper.
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