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Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems
Journal of Nonlinear Mathematical Physics ( IF 1.4 ) Pub Date : 2020-09-04 , DOI: 10.1080/14029251.2020.1819612
Jaume Giné 1 , Claudia Valls 2
Affiliation  

We consider the complex differential system ẋ = x + y f (x) , ẏ = −y + x f (y) , where f is the analytic function . This system has a weak saddle at the origin and is a generalization of complex Liénard systems. In this work we study its local analytic integrability.

中文翻译:

广义类 Liénard 复多项式微分系统中弱鞍的可积性条件

我们考虑复微分系统 ẋ = x + yf (x) , ẏ = −y + xf (y) ,其中 f 是解析函数。该系统在原点有一个弱鞍,是复杂 Liénard 系统的推广。在这项工作中,我们研究了它的局部分析可积性。
更新日期:2020-09-04
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