The First Integrals and Related Properties of a Class of Quintic Systems with a Uniform Isochronous Center
Year: 2022
Author: Yuexin Yan, Zhengxin Zhou
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 488–501
Abstract
In this paper, we give all the first integrals of the quintic systems which have a uniform isochronous center, and use them to determine the qualitative behavior of the periodic solutions of their equivalent non-autonomous systems. Meanwhile, we clearly describe the local phase portraits of singularity at infinity.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.488
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 488–501
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: First integrals Equivalence system Uniform isochronous center Infinite singularity Local phase portraits.