Dynamics of the cubic Darboux systems

E. P. Volokitin ; V. M. Cheresiz

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 889-902.

Résumé

We study the local and global behavior of the trajectories of the differential systems of the form $\dot x= x+p_3(x,y), \ \dot y=y+q_3(x,y)$ where $p_3(x,y), q_3(x,y)$ are relatively prime homogeneous cubic polynomials.

Détail

Keywords: polynomial systems, singular points, Poincaré equator
Mots-clés : phase portraits.

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