Painlev\'e analysis and integrability of three-dimensional Armbruster Guckenheimer Kim galactic potential
Exactly Solvable and Integrable Systems
2020-10-28 v1
Abstract
The three-dimensional Armbruster Guckenheimer Kim galactic potential in the general form is considered. The integrability of this problem is performed by using the Painlev\'e analysis. We report three cases of integrability, exact integrals of motion are obtained explicitly for each case. A numerical experiment is provided to investigate the classical phase space and explore chaos-order-chaos phenomenon.
Keywords
Cite
@article{arxiv.2010.14187,
title = {Painlev\'e analysis and integrability of three-dimensional Armbruster Guckenheimer Kim galactic potential},
author = {Walid Chatar and Jaouad Kharbach and Mohamed Benkhali and Mohamed Benmalek and Abdellah Rezzouk and Mohammed Ouazzani-Jamil},
journal= {arXiv preprint arXiv:2010.14187},
year = {2020}
}
Comments
21 pages, 9 figures