25585.具時(shí)變耦合系數(shù)的二階格點(diǎn)系統(tǒng)的拉回指數(shù)吸引子

1、具時(shí)變耦合系數(shù)的二階格點(diǎn)系統(tǒng)的拉回指數(shù)吸引子Pullbackexponentialattractionsforsecondorderlatticesystemswithtimedependentcoupledcoefficients作者：陳宏Author：g墮里望旦Q墜g指導(dǎo)教師：周盛凡專業(yè)：應(yīng)用數(shù)學(xué)Supervisor：圣塾Q墜曼塾里墜g墅Major：AppliedMathematics一●______________________

2、_?！馹_?！馹___________________________________●_●●______________●_●●●___●______●●__一學(xué)位：墨堂塑Degree：授予單位：浙江師范大學(xué)MasterofScienceInstitute：——ZhejiangNormalUniversity——March，2014AbstractThemaincontentofthisarticleistheexistenceofp

3、ullbackexponentialattractorsfortwokindsofsecondorderlatticesystemwithtimedependentcoupledcoefficients：d2uidui麗a百2口∑叩‘J(￡)ui鉀一A池一五(ui)璣(￡)，i∈z，，=一口(3)豢Q面dui：壹％㈣讓；“^u。腳“)郇)i∈Z(4)inthespace12f2andtheweightedspacesz；f；，respe

4、ctivelyWherefori∈z，t正i∈R，gi∈c(R，R)；，^(％)∈C1(R，R)，^(％，t)∈C1(R酞，酞)；r／i，j(￡)，J=一q，，q(q∈N)arelocallyintegrableint，andAi，QarepositiveconstantsMoreover，weobtaintheupperboundoffractaldimensionandattractingratefortheattractorPul

5、lbackexponentialattractorsisapositiveinvariantsetwithfinitefractaldimension，whichcontainspullbackattractorsandattractallboundedsetsexponentiallyItisaappropriatetoolforthestudyofasymptoticbehaviorofnonautonomousdynamicals

6、ystemsThispaperconsistsofthreechaptersThefirstchapterpresenttheintroductionincludingresearchbackground，researchsituation，somebasicconcept，symbolsandcom—monlyusedtheoremthatrelatetothearticleThesecondchapterdealswiththeex

7、istenceofpullbackexponentialattractorsfor(1)，andthedimensionisestimatedInthelastchapterweresearchtheexistenceofpullbackexponentialattractorsfor(2)，moreover，weobtaintheestimationoffractaldimensionKeywords：Pullbackexponent