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We prove a uniqueness result for limit cycles of the second order ODE $\ddotx + \sum_{j=1}^{J}f_{j}(x)\dot x^{j} + g(x) = 0$. We extend a uniqueness resultproved in \cite{CRV}. The main tool applied is an extension of Massera theoremproved in \cite{GS}.

Limit cycle's uniqueness for second order O.D.E.'s polynomial in $\dot x$