核台球间歇性通往混沌的路径——一项定性研究
核理论
2009-12-21 v3 混沌动力学
摘要
我们分析了一个简单的经典台球系统中不同动力学状态下混沌行为的起始。使用了具有二维深伍兹-萨克森势的经典“核台球”模型。我们考虑了在存在耗散的情况下，单粒子自由度与集体自由度之间的耦合，涉及几种振动多极性。对于所考虑的振荡模式，观察到从绝热区到共振区，核子轨迹的发散性不断增加。此外，在单极子情况下，在共振附近达到了一种特殊的间歇性情况。我们通过进行几种类型的定性分析来检验从有序到混沌的转变，包括对初始条件的敏感依赖性、单粒子相空间图、庞加莱映射的分形维数和自相关函数。
引用
@article{arxiv.0906.1715,
title = {Intermittency route to chaos for the nuclear billiard - a qualitative study},
author = {D. Felea and I. V. Grossu and C. C. Bordeianu and C. Besliu and Al. Jipa and A. A. Radu and C. M. Mitu and E. Stan},
journal= {arXiv preprint arXiv:0906.1715},
year = {2009}
}
备注
Submitted to Physical Review C, APS REVTEX 4.1, 12 pages, 15 Postscript figures, title changed, a few references were removed and a few added, text added on the resonance condition, comments added to the "Fractal dimensions on the Poincare maps" subsection, the connection of the pkdr system with the logistic map and the first figure were removed