Authors: Mouna Yahiaoui, Rachid Boukoucha
Abstract
In this paper we give an explicit expression of invariant algebraic curves
of a multi-parameter planar polynomial differential systems of degree nine,
then we prove that these systems are integrable and we introduce an explicit
expression of a first integral. Moreover, we determine sufficient conditions
for these systems to possess two limit cycles: one of them is algebraic and
the other one is shown to be non-algebraic, explicitly given. Concrete
examples exhibiting the applicability of our result are introduced.
Lab. de Mathèmatiques Appliquèes, Universitè de Bejaia,
06000 Bejaia, Algèrie
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