UNIFORM ISOCHRONOUS CENTER OF HIGHER-DEGREE POLYNOMIAL DIFFERENTIAL SYSTEMS

Zhengxin Zhou

doi:10.11948/20210411

2023 Volume 13 Issue 1

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Zhengxin Zhou. UNIFORM ISOCHRONOUS CENTER OF HIGHER-DEGREE POLYNOMIAL DIFFERENTIAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 116-132. doi: 10.11948/20210411

Citation:

Zhengxin Zhou. UNIFORM ISOCHRONOUS CENTER OF HIGHER-DEGREE POLYNOMIAL DIFFERENTIAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 116-132. doi: 10.11948/20210411

UNIFORM ISOCHRONOUS CENTER OF HIGHER-DEGREE POLYNOMIAL DIFFERENTIAL SYSTEMS

Zhengxin Zhou^1, ,

1.
School of Mathematical Sciences, Yangzhou University, China

Corresponding author: Zhengxin Zhou, Email: zxzhou@yzu.edu.cn
Fund Project: The author was supported by National Natural Science Foundation of China (Nos. 62173292, 12171418)

Abstract

Abstract

In this paper, we study the uniform isochronous center of a class of more general higher-degree of polynomial differential systems and give the necessary and sufficient conditions for the origin point to be a center. At the same time, we illustrate that under some restrictions, the composition conjecture about these differential systems is valid. As corollaries, the previous results can easily be derived from the current conclusion.
- Composition conjecture /
- center condition /
- uniform isochronous center /
- higher-degree systems
MSC: 34C07, 34C05, 34C25, 37G15

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References

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