RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS

Yuexin Yan; Zhengxin Zhou

doi:10.11948/20190391

2020 Volume 10 Issue 6

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Yuexin Yan, Zhengxin Zhou. RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2506-2520. doi: 10.11948/20190391

Citation:

Yuexin Yan, Zhengxin Zhou. RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2506-2520. doi: 10.11948/20190391

RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS

Yuexin Yan^1, ,,
Zhengxin Zhou^2, ,

1.
Guangling college of Yangzhou university, 225002, Yangzhou, China
2.
School of mathematical sciences, Yangzhou university, 225002, Yangzhou, China

Corresponding authors: Email address: yxyan@yzu.edu.cn (Y. Yan); Email address: zxzhou@yzu.edu.cn (Z. Zhou)

Abstract

Abstract

In this paper, we answer the question: under what conditions a class of rigid differential systems have a composition center. We give the sufficient and necessary conditions for these systems to have a center at origin point. At the same time, we give the formula of focal values and the highest order of fine focus.
- Uniformly isochronous center /
- rigid system /
- composition conjecture /
- composition center /
- center conditions
MSC: 34C07, 34C05, 34C25, 37G15

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References

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