一類延遲及非延遲系統(tǒng)的耦合動(dòng)力行為研究

1、華中科技大學(xué)碩士學(xué)位論文一類延遲及非延遲系統(tǒng)的耦合動(dòng)力行為研究姓名：汪瀟端申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：楊曉松20080423華中科技大學(xué)碩士學(xué)位論文華中科技大學(xué)碩士學(xué)位論文IIAbstractScholoarsexpertshavebeenmaintainingaveryhighlevelofenthusiasmtothestudyofdynamicsystem.Theresearchaboutitshowsthatdyn

2、amicsystemscouldbecoupledbyanumberofsimplesubsystemsthroughacertainway.Howeverastheindepthstudypeoplefindthatitbecomesmedifficulttostudythosesystemswhentheirdemensionsincrease.Sotherewasaideathatwhethernotpeoplecouldstud

3、ythecomplexsystemthroughsubsystemsrelationsbetweenthembecausecomplexsystemscouldcoupledbysimplesubsystems.Whatkindofchangesimpactstothesystemwouldproduceafterthecoupled.Itwthsthinking.Thispaperwouldstudydynamicbehaviofth

4、ecomplexsystemsthatcoupledbysimplesubsystems(twome).Sowewanttofindthatsubsystemsthathavedifferentdynamicbehavi(stableunstable)wouldproducewhatkindofimpactstothecoupledsystem.Firstweintruduceaneuralwkmodelanalysethebigcou

5、pledsystemusingdifferentcouplingmatrixbynumbericalsimulation.Wefindthatthesystemcoupledbysomechaoticneuraloneswouldgeneratesteadyperiodicbehavi.Secondweadddelayfacttotheabovemodelfindthatthebigsystemalsogeneratessteadype

6、riodicbehavisbynumericalsimulation.Atthelastwetakethespringoscillatasaexampletoshowthedynamicbehavisofthecoupledsystem.Wealsofindthatthecoupledspringoscillathasperiodicbit.Keywds:DynamicsystemSubsystemDynamicbehaviCouple