简介:AlineararrayofNmutuallycoupledsingle-modelasersisinvestigated.ItisshownthattheintensitiesofNlasersarechaoticallysynchronizedwhenthecouplingbetweenlasersisrelativelystrong.Thechaoticsynchronizationofintensitiesdependsonthelocationofthelasersinthearray.Thechaoticsynchronizationappearsbetweentwooutmostlasers,thesecondtwooutmostlasers,etc.Thereisnosynchronizationbetweennearestneighborsofthelasers.IfthenumberofNisodd,themiddlelaserisneversynchronizedbetweenanylasers.ThechaoticsynchronizationofphasesbetweennearestlasersinthearrayisexaminedbyusingtheanalyticsignalandtheGaussianfiltermethodsbasedonthepeakofthepowerspectrumoftheintensity.Itcanbeseenthatthemessageofchaoticintensitysynchronizationisconveyedthroughthephasesynchronization.
简介:ItisprovedthatalinearlyrecursivesequenceofnindiceaoverfieldF(n≥1)isautorntaticallyaproductofnlioearlyrecurplvesequenceaof1-lndexoverFbythetheoryofHopfalgebras.Bytheway,thecorrespondencebetweenthesetoflinearlyrecursivesequenoesof1-indexandF[X]^0isgeneralisedtothecaseofn-index.
简介:MotivatedbytheresetoptionwithnpredetermineddatesanalyzedbyW.Cheng,weconsiderakindofresetoptionwithuncertaindatesbyintroducingNpre-specifiedbarrierlevels.Weclaimthisresetoptionconsistsofsomestandardknock-inandknock-outbarrieroptions.Theclosed-formpricingformulaisderivedbymeansofaPDE'sapproach.