TY - JOUR
T1 - The First Integrals and Related Properties of a Class of Quintic Systems with a Uniform Isochronous Center
AU - Yan , Yuexin
AU - Zhou , Zhengxin
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 488
EP - 501
PY - 2022
DA - 2022/06
SN - 4
DO - http://doi.org/10.12150/jnma.2022.488
UR - https://global-sci.org/intro/article_detail/jnma/20720.html
KW - First integrals, Equivalence system, Uniform isochronous center,
Infinite singularity, Local phase portraits.
AB - <p style="text-align: justify;">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.</p>