Limit cycles bifurcating from isochronous surfaces of revolution in R3

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:381

Article

Llibre, Jaume¹  Rebollo-Perdomo, Salomon¹  Torregrosa, Joan¹ 

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

关键词: Limit cycle;    Periodic orbit;    Isochronous set;    Averaging method;   

DOI  :  10.1016/j.jmaa.2011.04.009

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free