@Article{JNMA-4-3, author = {Yuexin, Yan and Zhou, Zhengxin}, title = {The First Integrals and Related Properties of a Class of Quintic Systems with a Uniform Isochronous Center}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {4}, number = {3}, pages = {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.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.488}, url = {https://global-sci.com/article/87934/the-first-integrals-and-related-properties-of-a-class-of-quintic-systems-with-a-uniform-isochronous-center} }