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Algebraic limit cycles for quadratic polynomial differential systems

  • * Corresponding author: Jaume Llibre

    * Corresponding author: Jaume Llibre 
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  • We prove that for a quadratic polynomial differential system having three pairs of diametrally opposite equilibrium points at infinity that are positively rationally independent, has at most one algebraic limit cycle. Our result provides a partial positive answer to the following conjecture: Quadratic polynomial differential systems have at most one algebraic limit cycle.

    Mathematics Subject Classification: Primary: 37D99.


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