| 弹球系统的轨迹中点图 |
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| 引用本文： | 李小俊,白晋涛,李永安.弹球系统的轨迹中点图[J].山东大学学报(理学版),2008,43(9):36-41. |
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| 作者姓名： | 李小俊 白晋涛 李永安 |
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| 作者单位： | 1. 西北大学光子学与光子技术研究所,陕西,西安,710069
2. 西北大学光子学与光子技术研究所,陕西,西安,710069;延安市广播电视局,陕西,延安,716000 |
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| 摘 要： | 建立了弹球系统的轨迹中点图。通过对多种弹球系统模型的分析发现,离散点型的轨迹中点图对应着弹球系统的周期行为,线型的轨迹中点图对应着系统的准周期行为,而由大量弥散点组成的轨迹中点图则对应着系统的混沌行为。研究表明,轨迹中点图能够简便而有效地描述弹球系统的动力学行为。
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| 关 键 词： | 弹球系统 非线性动力学 混沌 图解法 轨迹中点图 |
The midpoint diagram of trajectory in billiard systems |
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| LI Xiao-jun,BAI Jin-tao,LI Yong-an.The midpoint diagram of trajectory in billiard systems[J].Journal of Shandong University,2008,43(9):36-41. |
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| Authors: | LI Xiao-jun BAI Jin-tao LI Yong-an |
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| Institution: | 1. Institute of Photonics and Photon-Technology, Northwest University, Xi’an 710069, Shaanxi, China; 2. Yan’an Bureau of Broadcast and Television, Yan’an 716000, Shaanxi, China |
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| Abstract: | The midpoint diagram of trajectory in billiard systems was given. After research on several kinds of billiards, it was discovered that the midpoint diagram of several discrete points corresponds to the periodic behavior of the billiard system, the midpoint diagram of lines corresponds to quasi-periodic behavior, and the midpoint diagram of large numbers of scattered points corresponds to chaotic behavior. This indicated that the midpoint diagram can simply and efficaciously describe the dynamical behavior of the billiard system. |
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| Keywords: | billiard system nonlinear dynamics chaos illustration midpoint diagram |
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