Integrability Conditions of a Weak Saddle in a Complex Polynomial Differential System
Sign Up to like & getrecommendations! 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
Integrability Conditions for Complex Homogeneous Kukles Systems
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DOI: 10.1080/14029251.2018.1494731
Abstract: In this paper we study the existence of local analytic first integrals for complex polynomial differential systems of the form ẋ = x + Pn(x, y), ẏ = −y, where Pn(x, y) is a homogeneous… read more here.
Keywords: kukles systems; conditions complex; homogeneous kukles; complex homogeneous ... See more keywords
Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems
Sign Up to like & getrecommendations! 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