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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…
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Keywords:
integrability conditions;
weak saddle;
system;
differential system ... See more keywords
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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…
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Keywords:
integrability;
generalized nard;
weak saddle;
saddle generalized ... See more keywords