E. P. Volokitin, “Unbounded solutions of the polynomial Cauchy–Riemann systems”, Sib. Èlektron. Mat. Izv., 2014, Volume 11,Pages <nobr>494

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Differentical equations, dynamical systems and optimal control

Unbounded solutions of the polynomial Cauchy–Riemann systems

E. P. Volokitin^ab

^a Novosibirsk State University
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We study the behavior of the trajectories of the Cauchy–Riemann polynomial differential systems at infinity. We use our results to construct the phase portraits for some special cases.

Keywords: singular points at infinity, Poincaré equator, separarices, polynomial first integrals.

UDC: 517.925

MSC: 34С05

Received February 26, 2014, published June 26, 2014