隨機(jī)動力系統(tǒng)的同步及其在計算神經(jīng)科學(xué)中的應(yīng)用.pdf

1、翰南鉀犧大等碩士學(xué)位論文隨機(jī)動力系統(tǒng)的同步及其在計算神經(jīng)科學(xué)中的應(yīng)用學(xué)科專業(yè)拯主逾魚墊堡紐鹽學(xué)位類型旦登堂望焦旦童些堂焦研究生姓名塹蕉導(dǎo)師姓名、職稱!E墊盔塾撞論文編號湖南師范大學(xué)學(xué)位評定委員會辦公室二零零六年三月ABSTRACTjmsmaSt盯paperismainlycomposedofthefollowingfivesection8，andwem啪lyexPl‘’rosynchronizationofstochasticdynam

2、icsystemandtheirappIicationincomputationalneuroscience，especiallyitssynchronizationofneurollS1synchronizatin。fneuronswithoutinteracti。ns(seechapter2)VVnenacoIIlmon’randominputispresented，wefindthatagroupofneuronsofsoeln7

3、s(integra‘eand—fire)modeltype—arecapableofquicklysynctlronizingtheiInrlngItISprovedthatwithinafinitetimetwoSteinneuronssynchronizet王1eirfiringwithprobabilityone。2synchronizationinstochasticc。upledsystems(seechapter3)Wepr

4、esentageneraImethodthatprovidesexplicitc。nstraintsonthestochaS—tlccouplingstr8ngthsthemselvesbycombiningthemasterstabilityfunction，theGersh96rindisctheorywiththeextremevaluetheoryinstatistics3Thesyndlronizati。ntimeinc。up

5、ledNneur。ns(seechapter4)ThesynchronizationtimeofNlineareigenvalueofinteractionmatrixSDEisdeterminedbythesecondmaximum4Synchronizationofneuronswithdelaysseechapter51Ourcalculationsestablishthatthesameinequality，obtainedbY

6、Mayconstrai璐thestabllnYforsystemrandomlycoupledthroughdiscreteanddistributeddelavsbSynchronizationandthedevelopmentofcomputationalneuronscienceomesPecl1cexamplesaregiventoillustratethesynchronizaionphen。mena鋤dthedevelopm