A Complex Limit Cycle not Intersecting the Real Plane

Document Type : Original Article

Author
Department of Mathematics, Qom University of Technology,Qom, Iran.
Abstract
We give a precise example of a polynomial vector feld on $mathbb{R}^2$ whose corresponding singular holomorphic foliation of $mathbb{C}^2$ possesses a complex limit cycle which does not intersect the real plane $mathbb{R}^2$. 

Keywords


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