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二次微分系统的中心条件和通积分 总被引:1,自引:0,他引:1
本文给出在中国分类之下二次微分系统有中心时两种情况的通积分. 相似文献
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ANOTEFORTHETOPOLOGICALCLASSIFICATIONOFSTRUCTURALLYSTABLEQUADRATICDIFFERENTIALSYSTEMSWITHOUTLIMITCYCLES¥YeWeiyin(叶惟寅)(NanjingN... 相似文献
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THE VARIATION OF INVARIANT LINES AND LIMIT CYCLES FOR A QUADRATIC DIFFERENTIAL SYSTEM 总被引:1,自引:0,他引:1
1IntroductionConsidertherealquadraticdiferentialsystemx=-y+δx-4x2+3xy+13y2y=x(1-13x-y).(1)First,forconvenience,wedenotethetwo... 相似文献
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The special cubic system (a natural and simPlest generaIization of thequadratic system of C1ass (l) to cubic system)f.'x = yl y = --x 6y a,x' a2xy a,y' a#x' a,x'y a.xy' a,y' (1)was first studied by the Russian Mathematician I.S.KukIes [ll on the Ilecessaryand sufficient conditions fot O(0,0) to be a ccnter of (1). After [ll, the sameproblem and also the order of O as a fine fOcus were also studied iIl [2--l0] and[13-19], so (l) is now called as a "Kukles system". In l988-… 相似文献
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叶惟寅 《高校应用数学学报(A辑)》1999,14(3):254-260
在假设文中命题A成立的条件下证明了一般二次微分系统的极限环所有可能的分布为(3,1),(1,3),(3,0),(0,3),(2,1),(1,2),(2,0),(1,1),(0,2),(1,0),(0,1)和(0,0)。 相似文献
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