一類具有小擾動參數(shù)的擬周期非線性系統(tǒng)在平衡點(diǎn)附近的可約化性.pdf

1、東南大學(xué)碩士學(xué)位論文一類具有小擾動參數(shù)的擬周期非線性系統(tǒng)在平衡點(diǎn)附近的可約化性姓名：李佳申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：徐君祥20071201AbstractThispapertreatsthereducibilityofnonhnearquasiperiodicsystemswithmultipleeigenvaluesunderperturbationalhypothesisintheneighborhoodofequil

2、ibriumThatis，weconsiderthefollowingsystem士=(AEQ(t))xeg(t)^(茹，t)whereAisac0衄tantmatrixwithmultipleeigenvalues，h=o(x2)忙_0)，^(z，￡)，O(t)and9(t)arequasiperiodiewithrespecttotUndersuitablehypothesisofnonresonantconditionandnon

3、degeneratecondition，formostsufficientlysmall島thesystemscanbereducibletoaquasiperiodicnonlinearsystemwithequilibriumbymeansofaquasiperiodictransformationKeywords：Quasiperiodic；Reducibility；Nonresonantconditions；Nondegener