论文标题
三维臂章Guckenheimer Kim银河电位的Painlevé分析和整合性
Painlevé analysis and integrability of three-dimensional Armbruster Guckenheimer Kim galactic potential
论文作者
论文摘要
考虑了一般形式的三维臂章guckenheimer kim银河电位。通过使用Painlevé分析来执行此问题的整合性。我们报告了三个可集成性的情况，即对于每种情况，明确获得了精确的运动积分。提供了一个数值实验来研究经典相空间并探索混乱秩序现象。
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.
