拓撲動力系統(tǒng)中的弱混合子集.pdf

1、西北大學(xué)碩士學(xué)位論文拓撲動力系統(tǒng)中的弱混合子集姓名：張愛芳申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：王延庚20100610Abstract(英文摘要)Asiswellknown，topologicaldynamicalsystemsmainlyinvestigatethelimitbehaviorofthedynamicalbehaviorastimegoestoinfinityAmongthem，thestudyofchaosplay

2、saveryimportantroleAndweknowthattheinvestigationofchaoticpropertiesiscrucial，becauseitnotonlyisoneoftheimportantsubjects，butalsolaysitthefoundationonmakingfurtherunderstandingchaos。Inthisthesis，wemainlystudythedynamicalp

3、ropertiesofweaklymixingsetwhicharechaoticpropertiesandcomplexityofpartialtopologicalweaklymixingThepaperisorganizedasfollows：Inchapter1，theorigin，statusandapplicationsofchaostheoryaredescribedThentheoriginandthevitalrole

4、inthechaostheoryofsensitivedependenceoninitialconditionsareintroducedFinallythetwobasicchaoticpropertiesoverallchaoticpropertiesandpartialchaoticpropertiesareintroducedTheintroduction，backgroundandstatusofweaklymixingset

5、saredescribed。Inchapter2，itisnarratedasthebasisofourdiscussion，wegivetheprimarynotionsofweaklymixingsetand80011Inchapter3，firstlywegivethreeequivalentconditionsofaweaklymixingsubsetSecondlybyusingoneofequivalentcondition

6、sofaweaklymixingsubset，weinvestigatethedynamicalbehavioronlimitofweaklymixingset，andunderspecialconditions，weprovethatthelimitofasequenceofweaklymixingsubsetsisstillaweaklymixingsubsetFinallywegetanewpropertyofweaklymixi