雙曲不動點(diǎn)的大范圍估計(jì).pdf

1、南京航空航天大學(xué)碩士學(xué)位論文雙曲不動點(diǎn)的大范圍估計(jì)姓名：王占東申請學(xué)位級別：碩士專業(yè)：計(jì)算數(shù)學(xué)指導(dǎo)教師：古志鳴20000301雙曲不動點(diǎn)的大范圍估計(jì)AbstractBecauseHyperbolicfixedpointshaveimportantfunctionintheresearchofsystemstructuralstability，thearticlegivesabriefintroductiontoitsimportance

2、HyperbolicsaddlepointsareakindofspecialHyperbolicfixedpoints，usingMorseinequalityinthesecondchapterthearticlegiveanestimationofnumberofhyperbolicsaddlepointsofthesystemandexpressalowerboundInthethirdchapter，thearticlepay

3、sitsattentiontotheparticularsystemof“twomasspointsinanorientablesmoothclosedr—manifoldmove’’and“threemasspointmovinginthe3space呶3”Inordertogiveaestimationofthenumberofhyperbolicsaddlepoints，Wemustfindthesolutiontohomolog

4、ygroups，inthischapterIgiveadifferentanswerincalculatingthehomologygroupstOthatofmyteacherinthearticle[3]Finally，asanapplication，intheforthchapterbytransversalityhomoclinictheorem，Igiveartestimationofnumberwherephenomenon