耗散MKdV方程的整體吸引子及一類不同系統(tǒng)間混沌同步的研究.pdf

1、江蘇大學(xué)碩士學(xué)位論文耗散MKdV方程的整體吸引子及一類不同系統(tǒng)間混沌同步的研究姓名：陳文霞申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：田立新20060424江蘇大學(xué)碩士學(xué)位論文ABSTRACTTherearetwomainpartsinthispaperChaptertwoandchapterthreestudydynamicbehaveoffourorderforcedweakdampedMkdvequationInchaptertwo

2、，theSobolevinterpolationinequalityandpriorestimateontime～tareappliedtoshowtheexistenceofsolutioninunboundeddomainMoreover，operatordecomposedtechniqueandKuratowskii口noncompactedmeasureareappliedtostudythesmoothpropertyoft

3、hesolutionFinallytheexistenceoftheglobalattractorofadissipativeMKdVequationinH2(R1)isprovedInchapterthree，wemakethesamemethodtostudydynamicbehaveofforcedweakdampedMkdvequationMeanwhile，WOgetthesalDeconclusiontheexiStence

4、oftheglobalattractorinⅣ2(R1)AndweusenatureanalysisapproachanddissipativeconservativeschemetheorytoprovethecomputationalstabilityofuniversaldoubletimedifferentialformatAndfinallyaccordantconclusionwiththeoreticalproofisga

5、inedbynumericalsimulation，InchapterfourweusetwodifferentmethodstostudythesynchronizationofthedifferentchaoticsystemsactivecontrolsynchronizationmethodandnonlinearcontrolsynchronizationmethodTwodifferentcontrollersaredesi

6、gnedforsynchronizingresponsesystemanddrivesystemComparedwiththeconventionapproaches，theproposedmethodsaremuchsimplerandeffectivethantheconventionalapproachesBecausetheLyapunovexponentsarenotrequiredtOcalculateMoreover，th