期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷:449
On the number of limit cycles for a class of discontinuous quadratic differential systems
Article
Cen, Xiuli1  Li, Shimin2  Zhao, Yulin3 
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Guangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou 510320, Guangdong, Peoples R China
[3] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
关键词: Limit cycle;    Discontinuous differential system;    Averaging method;    Isochronous center;    Chebyshev criterion;   
DOI  :  10.1016/j.jmaa.2016.11.033
来源: Elsevier
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【 摘 要 】

The present paper is devoted to the study of the maximum number of limit cycles bifurcated from the periodic orbits of the quadratic isochronous center x = -y+16/3x(2)-4/3y(2), y = x+8/3xy by the averaging method of first order, when it is perturbed inside a class of discontinuous quadratic polynomial differential systems. The Chebyshev criterion is used to show that this maximum number is 5 and can be realizable. In some sense, the result and that in paper [6] also answer the questions left in the paper [9]. (c) 2016 Elsevier Inc. All rights reserved.

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