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Articles

Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems

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Pages 664-678 | Received 13 Dec 2019, Accepted 07 Feb 2020, Published online: 04 Sep 2020
 

Abstract

We consider the complex differential system

= 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.

2010 Mathematics Subject Classification:

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