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

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We consider the complex differential system ẋ = x + y f (x) , ẏ = −y + x f (y) , where f is the analytic function . This… Click to show full abstract

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.

Keywords: integrability; generalized nard; weak saddle; saddle generalized; conditions weak; integrability conditions

Journal Title: Journal of Nonlinear Mathematical Physics
Year Published: 2020

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