A family of planar differential systems with hyperbolic algebraic limit cycles

In this paper, we characterize a family of planar polynomial differential systems of degree greater or equal than <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"> <a:mi>n</a:mi> <a:mo>+</a:mo> <a:mn>1</a:mn> </a:math>, by presenting polynomial curves of degree <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"> <b:mi>n</b:mi> <b:mo>,</b:mo> </b:math> which generally contain closed components. These systems admit precisely the bounded components of the curve as hyperbolic limit cycles.