一類五次廣義Lienard系統(tǒng)的奇點(diǎn)分析
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【Abstract]Lienardequation isaspecial equationspeciallusedtostudy thedynamic propertiesofdifferentialsystems， whichplaysanimportantroleinvarious practicalproblemssuchasphysics，chemistryandbiology.GeneralizedLienardsystemisamoregeneralform.Thispaperappliesclassicalmethods fromthequalitative theoryofdiferentialequations toanalyzetheequilibriaofclassoffthordergeneralzedLienardsystemsunderdifrentparameerconditions，anditspecificallyexamines thepropertiesofequilibriaincertaindegeneratecasesandfinallprovides theexistenceandnumberoflocallimit cycles in the system.
【Key words] generalized Liénard system;equilibrium;limit cycle;focal quantity [中圖分類號(hào)］0175 [文獻(xiàn)標(biāo)識(shí)碼]A [文章編號(hào)]1674-3229（2025）02-0005-11
0 引言
常微分方程定性理論是常微分方程在不求出解的情況下研究解的分布和性態(tài)的基本理論。（剩余9548字）