Abstract

In this paper we study the number of limit cycles bifurcating from isochronous surfaces of revolution contained in R-3, when we consider polynomial perturbations of arbitrary degree. The method for studying these limit cycles is based on the averaging theory and on the properties of Chebyshev systems. We present a new result on averaging theory and generalizations of some classical Chebyshev systems which allow us to obtain the main results. (C) 2011 Elsevier Inc. All rights reserved.