E. P. Volokitin, V. M. Cheresiz, “The qualitative analysis of the plane polynomial Darboux systems”, Sib. Èlektron. Mat. Izv., 2016, Volume 13,Pages <nobr>1170

This article is cited in 5 papers

Differentical equations, dynamical systems and optimal control

The qualitative analysis of the plane polynomial Darboux systems

E. P. Volokitin^ab, V. M. Cheresiz^a

^a Sobolev Institute of Mathematics, 4 Acad. Koptyug avenue, 630090 Novosibirsk Russia
^b Novosibirsk State University, 2 Pirogova Str., 630090 Novosibirck Russia

Abstract: We study the local and global behavior of the trajectories of polynomial differential systems of the form $\dot x= x+p_n(x,y)$, $\dot y=y+q_n(x,y)$.

Keywords: polynomial systems, limit cycles, singular points, Poincaré equator, phase portraits.

UDC: 517.925

MSC: 34С05

Received October 27, 2016, published December 8, 2016

DOI: 10.17377/semi.2016.13.092