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1、哈尔滨理工大学理学硕士学位论文NonlinearChaoticCircuitandItsDynamicsAnalysisAbstractThephenomenonofchaosistheinternalrandomprocessofthenonlinearsystem,whichisextremelysensitivetotheinitialconditionofthesystem.Lotsofresearchesindicatethatthechaosphenomenonhaswideapplicationprospectandalso
2、hascloseconnectionwiththeengineeringtechnology.Firstly,basedonathirdorderautonomoussystem,westudythebasicdynamiccharacteristicsdeeply.Inthispaper,weanalysisthedimensionsofthesystemsandthemaximumLvapunovindexandgettheMatlabmumericalsimulationdiagram,Lvapunovexponentialspec
3、trumandbifurcationdiagram,emphasizingontheinfluenceofthebasicdynamiccharacteristicscausedbythedifferentparameters.Moreover,thehardwarecircuitandPspicesoftwaresimulationsoftwareareproposedtoverifythevalidityoftheanalysis.Secondly,wedesignasimplethirdordermemristorcircuitan
4、danalysisthenonlinearchaoticcircuitbasedonthememristor.Onthebasisoftheequationofthestate,bifurcationdiagram,phasediagramandthetimedomainwaveformfigureisproposedtoanalysisthedynamicinfluenceunderthedifferentparameters.Lastly,wedesigntheslidingmodecontrollerbasedontheexpone
5、ntialreachingrateandstudythebifurcationandchaosphenomenonbasedonslidingmodecontrol.Webuildthediscreteiterativemappingmodeloftheexponentialreachingcontrolsystemandanalysisthefoldingandbifurcationdiagramofthedifferentcontrollerparameters,accordingtotheoperatingprincipleofsl
6、idingmodecontrolofsingle-phaseinverterHbridgetheunderthesinglepolaritymodulation.WegetthetimedomainwaveformfigureofloadcurrentunderthedifferentparametersofcontrollerbythesimulationsoftwareMatlab/Simulinktoverifythecorrectnessoftheanalysis.Bifurcationisprovidedtoanalysisth
7、enonlinearcharacteristicwhentheinputvoltageEandtheinductorLchange.Keywordsnonlinear,chaos,bifurcation,memristor,Hbridgeinverter-II-哈尔滨理工大学理学硕士学位论文目录摘要..........................................................................................................................
8、.IAbstract......................................................................................
