MMN-2043

Limit cycles and invariant centers for an extended Kukles system

Zhenhai Liu; Iván Szántó;

Abstract

A class of polynomial systems of odd degree with limit cycles, invariant centers and invariant straight lines, is examined. The limit cycles can be obtain as a bifurcation of a non hyperbolic focus at the origin as Hopf bifurcations. We will also obtain the necessary and sufficient conditions for the critical point at the interior of bounded region to be a center.


Vol. 18 (2017), No. 2, pp. 947-952
DOI: https://doi.org/10.18514/MMN.2017.2043


Download: MMN-2043