| 一个边界振荡的台球模型 |
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| 引用本文： | 戴俊,傅怀梁,王文秀,陈贺胜,石康杰,何大韧. 一个边界振荡的台球模型[J]. 扬州大学学报(自然科学版), 2004, 7(4): 27-31 |
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| 作者姓名： | 戴俊 傅怀梁 王文秀 陈贺胜 石康杰 何大韧 |
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| 作者单位： | 1. 扬州大学物理科学与技术学院,江苏扬州,225002
2. 西北大学现代物理研究所,陕西西安,710069 |
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| 基金项目： | 国家自然科学基金资助项目(10275053) |
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| 摘 要： | 研究了一种边界周期振荡的台球模型，使台球场在半圆和略小于半圆之间周期转换，解析地导出了描述这个经典台球系统动力学行为的映象方程．对台球仅在半圆和略小于半圆的台球场内无耗散运动的2种极端情况进行了解析与数值分析，说明这2种情况下台球都呈现典型的保守系统特征．初步数值研究表明，边界周期振荡的模型会显示耗散的特征．
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| 关 键 词： | 分段光滑 台球模型 边界振荡 |
| 文章编号： | 1007-824X(2004)04-0027-05 |
A bouncing ball model with a oscillating border |
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| DAI Jun FU Huai-liang WANG Wen-xiu CHEN He-sheng SHI Kang-jie HE Da-ren. A bouncing ball model with a oscillating border[J]. Journal of Yangzhou University(Natural Science Edition), 2004, 7(4): 27-31 |
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| Authors: | DAI Jun FU Huai-liang WANG Wen-xiu CHEN He-sheng SHI Kang-jie HE Da-ren |
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| Abstract: | This article suggests studying a bouncing ball model where a discontinuous borderline oscillates so that the poolroom periodically transfers between a semi-cycle and an even smaller one. The mappings, which describe the system's dynamics, have been deduced analytically. For the two extremities, i. e. the conservative motion of the classic particle inside the fixed semi-cycle and the smaller poolroom, the analytic and numerical investigation shows that typical conservative features are displayed. However, the first step investigation confirms that the border-oscillating model can display dissipative behavior, therefore it has the value for a further study. |
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| Keywords: | piecewise smooth bouncing ball model borderline oscillate |
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