Articles with "weak saddle" as a keyword



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Integrability Conditions of a Weak Saddle in a Complex Polynomial Differential System

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Published in 2020 at "Journal of Dynamical and Control Systems"

DOI: 10.1007/s10883-020-09525-y

Abstract: We consider a complex differential system with a weak saddle at the origin and we characterize the existence of a local analytic first integral around the weak saddle. If the system does not have a… read more here.

Keywords: integrability conditions; weak saddle; system; differential system ... See more keywords
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Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems

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Published in 2020 at "Journal of Nonlinear Mathematical Physics"

DOI: 10.1080/14029251.2020.1819612

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… read more here.

Keywords: integrability; generalized nard; weak saddle; saddle generalized ... See more keywords