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A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles

A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles

Abstract We consider a class of polynomial systems of degree four with four real invariant straight lines that form a square, called this an invariant square, and also that contains in its interior at least five small amplitude limit cycles for a certain choice of the parameters. Moreover, we will …