陳吸引子Riddled性質(zhì)的研究.pdf

1、上海大學(xué)理學(xué)碩士學(xué)位論文陳吸引子Riddled性質(zhì)的研究姓名：導(dǎo)師：學(xué)科專業(yè)：李瑩劉曾榮應(yīng)用數(shù)學(xué)上海大學(xué)理學(xué)院二零零六年二月上海大學(xué)碩士學(xué)位論文AbstractSinceE，N，LoreIlZfbulldthefirststmge啪actorinanumericalcxaminationbychancein1960s，chaoshasgained孕eatandprofounddevclopmentinmanyfieldsAsoncmai

2、naspectofnoIllinearscience，chaoshasbeengot【enmuchattentionbylotsofresearcherSofVariousfields，andithascomprehensive叩plicationsinnatllmlsciencea11dsocialscienceAlmou曲therearequitealotofaniclesaboutⅡ1eresearchoncbaotic撇acto

3、rsinthecurrcntliteratIlre，mostofthemarcfocllsonthestudyoftlledynanlicsofchaoticsystemsOnthecontrary，thestudyontheattractingpmpertyofchaoticattractorismuchless111isismainlyduetothefktmattheintrinsicpmpeniesofattractionarc

4、stillnotV∞r(nóng)cleartothisdayAccordingtotl】e加ditionaltheoryofatnactors，aclosedsctbeinganattractormusthaveaneighborhoodofattmctionSincethechaoticat時actorisfound，peoplehavegraduallyrealizedt11erequirementistoostrictfortheprope

5、rtyofattmctionSoMilnort11i|1ks“isnecessarytoproposeanewdeflnjtiontela)(itThem血ideaofMilnor’sdefinitionisthatitrequiresoIllyaIlattractiveset塒mapositiveLebesguemeasure，butnotanentireattractivenei曲borhoodenconlpassillgitInl

6、ightofMilnor’sdefinition，ifa11ynei曲borhoodofasetcontainsbotllattmctedandrepelledsetswithpositiveLcbesguemeasllres，missetisalsoanattractoL0nt11ebasisoft11isdefinition廿leso—calledriddledpropertyofanattractorwasdefineda11ds

7、tudiedinthebasinofachaoticatⅡactoLAl恤ou曲mallyproductionshavebeenacllieVedinthisaspect，tbeworkabouttheriddledpropenyofthechaotic咐actorisrnostlyfocusedonthediscretesystematthepresemtimeInmismesiswe’llextendthestudytoconti肌

8、oussystemanduseChenattractor，arepresentatiVeex鋤pleofs仃aIlge甜ractor，toprovcthatthebasinofattractionofachaoticat仃actorproducedbyacominuoussystemalsopossessesriddledprope啊Thismesisisdenotedtomepr00fthatCh肌attractorisaIlattr