Abstract
In this paper, we have solved the center-focus problem for a family of high-order polynomial differential systems. We give the sufficient and necessary conditions for the corresponding periodic differential equation to have a center and also show that this center is a CC-center.
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Acknowledgements
This work is supported by the National Natural Science Foundation of China (61773017, 11571301) and the National Natural Science Foundation of Province Jiangsu (BK20161327).
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Zhou, Z. On the Center-Focus Problem for a Family of High-Order Polynomial Differential Systems. J Dyn Diff Equat 32, 393–418 (2020). https://doi.org/10.1007/s10884-019-09735-4
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DOI: https://doi.org/10.1007/s10884-019-09735-4