動力系統(tǒng)中回復(fù)性的研究.pdf

1、廣西師范大學(xué)碩士學(xué)位論文動力系統(tǒng)中回復(fù)性的研究姓名：江濤申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：趙俊玲20090401p%?Q!0!eLgq9vToL??^%?RecurrentPropertiesinDynamicalSystemsGraduatestudent:JiangTaoSupervis:ZhaoJunlingMaj:AppliedMathematicsDirection:DynamicalSystemsGrade:2006

2、AbstractTopologicalDynamicsisoftenusedtodescribethesystemgenerationbytheiterationofmapping.Itisabstractfromthesystemdecidedbythedifferentialequation.RecurrentPropertiesarethemostbasiccontentinTopologicalDynamics.Itisclos

3、elyrelatedwithalotofthebasictheem.Ingeneralthesetheemsarediscussedonacompactmetricspace.Inthepaperwediscussthepropertiesofthesetsofrecurrentpointsfromtheviewofthegeneralspace(suchasEuclideanspace).Weprovethefixedpointmay

4、notbetheclosedsetthesetofalmostperiodicpointsmaynotbestronglyinvariantprovidesomeconditionsftheconclusionsestablishment.wealsodiscusstherecurrentpropertiesoftriangularmapsinacompactmetricspace.Aacerizationofperiodicbitso

5、ftriangularmapsisgivensomeconditionsofotherssetsofrecurrentpointsarelisted.Thispaperiscomposedofthreechapters.ThefirstchapteristheintroductionbrieflyintroducingthehisticbackgroundofTopologicalDynamicssomenotionsthemainre

6、sultsofthestudy.thesecondchapterdealswiththerecurrentpropertiesonnoncompactnonmetricspace.WegettheconclusionsthatthesetsoffixedpointsaretheclosedsetwhenXisthespaceofT2thesetofalmostperiodicpointsarestronglyinvariantwhenX

7、isthespaceoflocallycompactT2.Wepresentcounterexamplesfthosepropertiesthatcan’tbeextendedtothegeneralspace.thethirdchapterdealswiththerecurrentpropertiesoftriangularmapsinacompactmetricspace.Aacerizationofperiodicbitsoftr

8、iangularmapsisgivensomeconditionsofotherssetsofrecurrentpointsareprovided.studythechaosoftriangularmapsisalsoincluded.Thelastpartisconcludingremarksinwhichthemainresultsofthispaperaresummarized.thesignicanceofthispaperth