Limit Cycles Bifurcating from Isochronous Surfaces of Revolution in R Jaume Llibre, Salomón Rebollo-perdomo and Joan Torregrosa
نویسنده
چکیده
In this paper we study the number of limit cycles bifurcating from isochronous surfaces of revolution contained in R, when we consider polynomial perturbations of arbitrary degree. The method for studying these limit cycles is based in the averaging theory and in the properties of Chebyshev systems. We present a new result on averaging theory and generalitzations of some classical Chebyshev systems which allow us to obtain the main results.
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