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: 10.18514/MMN.2017.2043