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 | |
【 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.
【 授权许可】
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【 预 览 】
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