| QUALITATIVE THEORY OF THE KUKLES SYSTEMS:(Ⅰ) NUMBER OF CRITICAL POINTS |
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| 引用本文： | 叶惟寅
,叶彦谦.QUALITATIVE THEORY OF THE KUKLES SYSTEMS:(Ⅰ) NUMBER OF CRITICAL POINTS[J].Annals of Differential Equations,2001(3). |
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| 作者姓名： | 叶惟寅 叶彦谦 |
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| 作者单位： | Ye Weiyin (Dept. of Math.,Nanjing Normal University,Nanjing 210097) Ye Yanqian (Dept. of Math.,Nanjing University,Nanjing 210098) (Dedicated to Professor Su Buqing on his 100 Years Birthday) |
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| 基金项目： | Project supported by the Natural Science Foundation of China. |
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| 摘 要： | 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] and13-19], so (l) is now called as a "Kukles system". In l988-…
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