25567.兩類格點系統(tǒng)的指數(shù)吸引子

1、兩類格點系統(tǒng)的指數(shù)吸引子ExponentialAttractorsforTwoClassesofLattice作者Systems趙敏Author：ZhaoMin指導(dǎo)教師：周盛凡專業(yè)：應(yīng)用數(shù)學(xué)學(xué)位：理學(xué)碩士授予單位：浙江師范大學(xué)Supervisor：圣塾Q望曼塾旦墜g魚翌Major：AppliedMathematics一●________________________?！馹_。______________________________

2、____________________________●_●_●_●___。_________●，_●一Degree：墜魚!塑魚里!Q￡璺里i里旦里里Institute：圣塾當(dāng)i壘翌g盟Q!翌型墮望i翌!璺i!YMarch，2014AbstractThemaincontentofthispaperistheexistenceofexponentialattractorsfortwoclassesoflatticesystems：the

3、existenceofanexponentialattractorforthenonlinearBoussinesqlatticesystemandtheexistenceofauniformexponentialattractorforsecondordernonautonomouslatticesystemwithquasi—periodicexternalforcesThispaperconsistsofthreechapters

4、：Inthefirstchapter，firstlyweintroduceresearchstatusofinfinitedimensionalsys—tems，especiallyresearchstatusoflatticesystemsThenwediscussthenecessityandimportantmeaningofconsideringexponentialattractoranduniformexponentiala

5、ttrac—torforinfinite—dimensionalsystemsFinallyweintroducethepreliminariesandmaincontentofthispaperInthesecondchapter，wewillapplysomesufficientconditionsfortheexistenceofanexponentialattractortoobtaintheexistenceofanexpon

6、entialattractorsforthenonlinearBoussinesqlatticesystemInthethirdchapter，wewillapplysomesufficientconditionsfortheexistenceofauniformexponentialattractortoobtaintheexistenceofauniformexponentialattractorfornonautonomousse