MMN-2043
Limit cycles and invariant centers for an extended Kukles system
- Zhenhai Liu,
Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation and College of Sciences, Guangxi University for Nationalities, Nanning Guangxi 530006, P.R. China,
zhhliu@hotmail.com - Iván Szántó,
Departamento de Matematica, Universidad Tecnica Federico Santa Maria, Departamento de Matematica, Casilla 110-V, Valparaiso, Chile,
ivan.szanto@usm.cl
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