The First Integrals and Related Properties of a Class of Quintic Systems with a Uniform Isochronous Center

Authors

  • Yuexin Yan
  • Zhengxin Zhou

DOI:

https://doi.org/10.12150/jnma.2022.488

Keywords:

First integrals, Equivalence system, Uniform isochronous center, Infinite singularity, Local phase portraits.

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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Published

2024-04-10

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Issue

Vol. 4 No. 3 (2022)

Section

Articles

How to Cite

The First Integrals and Related Properties of a Class of Quintic Systems with a Uniform Isochronous Center. (2024). Journal of Nonlinear Modeling and Analysis, 4(3), 488-501. https://doi.org/10.12150/jnma.2022.488