Algebtaic limit cycles of planar cubic systems

Authors

  • Evgenii Volokitin Sobolev Institute of Mathematics, Novosibirsk State University
  • Vladimir Cheresiz Sobolev Institute of Mathematics

Keywords:

polynomial systems, algebraic limit cycles, non-algebraic limit cycles, phase portraits.

Abstract

We study the algebraic limit cycles of the  differential systems of the form  $\dot x= x+P_3(x,y), \ \dot y=y+Q_3(x,y)$ where $P_3(x,y)$ and $Q_3(x,y)$ are homogeneous cubic polynomials.

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Published

2020-12-10

Issue

Vol. 17 (2020)

Section

Differential equations, dynamical systems and optimal control