MMN-1038
Limit cycles and invariant parabolas for an extended Kukles system
Béla Szabó; Iván Szántó;Abstract
A class of polynomial systems of odd degree with limit cycles, invariant
parabolas 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. 15 (2014), No. 1, pp. 219-225