Limit cycles of polynomial differential equations with quintic homogeneous nonlinearities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:407

Article

Benterki, Rebiha¹  Llibre, Jaume² 

[1] Univ Bordj Bou Arreridj, Dept Matemat, El Anasser 34265, Algeria

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

关键词: Limit cycle;    Periodic orbit;    Center;    Reversible center;    Averaging method;   

DOI  :  10.1016/j.jmaa.2013.04.076

来源: Elsevier

【 摘 要 】

In this paper we mainly study the number of limit cycles which can bifurcate from the periodic orbits of the two centers (x) over dot = -y, (y) over dot = x; (x) over dot = -y(1 - (x(2) + y(2))(2)), (y) over dot = x(1 - (x(2) + y(2))(2)); when they are perturbed inside the class of all polynomial differential systems with quintic homogeneous nonlinearities. We do this study using the averaging theory of first, second and third orders. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free