CENTER CONDITIONS FOR A CUBIC DIFFERENTIAL SYSTEM WITH AN INVARIANT CONIC

D. Cozma
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Abstract

We find conditions for a singular point O(0, 0) of a center or a focus type to be a center, in a cubic differential system with one irreducible invariant conic. The presence of a center at O(0, 0) is proved by constructing integrating factors.
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具有不变二次曲线的三次微分系统的中心条件
在具有一个不可约不变二次曲线的三次微分系统中,我们找到了中心或焦点型奇点O(0,0)为中心的条件。通过构造积分因子证明了在0(0,0)处存在一个中心。
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