Painlevé analysis and integrability of three-dimensional Armbruster Guckenheimer Kim galactic potential

2020/10/27 by Walid Chatar, Chatar, Walid, Jaouad Kharbach +9
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.2010.14187

21 pages, 9 figures

arxiv created 2020/10/27 · arxiv updated 2020/10/28

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 Painlevé 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.

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