Study on Chaos Created by Hopf Bifurcation of One Kind of Financial System and Its Application

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摘要 Fromamathematicalmodelofonekindcomplicatedfinancialsystem,correspondinglocaltopologicalstructuresofsuchkindsystemonconditionofcertainparametercombination,unstableequilibriumpointofthesystem,conditionsonwhichHopfbifurcationiscreatedandstabilityofthelimitcirclecorrespondingtotheHopfbifurcationaswellasconditiononwhichthelimitcircleisstablehavebeenstudied.FromrelationshipbetweeneachparameterandtheHopfbifurcationallthewaytoroutewhichleadstochaosetchavebeenstudied.Followingtheabove,conditionsonwhichcomplicatedbehaviorscreatedlocallyinsuchkindsystemhasbeenanalyzed.Byapplyingfractaldimension,Lyapunovindex,theintrinsiccomplexityofthesystemonsuchconditionhasbeenstudied,andresultofthenumericalsimulationprovesthetheoryofthispapercorrect.
机构地区 不详
出版日期 2004年03月13日(中国期刊网平台首次上网日期,不代表论文的发表时间)