| 利用洛伦兹水车研究混沌现象 |
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| 引用本文： | 成乃涵,程敏熙,李春兰,林莫迪,杨上照. 利用洛伦兹水车研究混沌现象[J]. 大学物理, 2020, 0(1): 66-70 |
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| 作者姓名： | 成乃涵 程敏熙 李春兰 林莫迪 杨上照 |
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| 作者单位： | 华南师范大学物理与电信工程学院 |
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| 基金项目： | 华南师范大学2017年教改项目;广东省高等教育学会实验室管理专业委员会2016年研究基金项目(GDJ2016055)资助 |
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| 摘 要： | 洛伦兹水车是描述混沌系统的模型.本文从理论上分析了洛伦兹水车的运动方程,并制作了一台洛伦兹水车系统.用手机拍摄视频,再用视频分析软件Tracker追踪水车的运动状态,快速便捷地画出相应的相图,既出现混沌吸引子,又具有初值敏感性.通过对多个实验图像的分析,证明本系统为混沌系统.
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| 关 键 词： | 混沌 洛伦兹水车 TRACKER 相图 |
Research on the chaos phenomena of Lorenz water wheel |
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| CHENG Nai-han,CHENG Min-xi,LI Chun-lan,LIN Mo-di,YANG Shang-zhao. Research on the chaos phenomena of Lorenz water wheel[J]. College Physics, 2020, 0(1): 66-70 |
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| Authors: | CHENG Nai-han CHENG Min-xi LI Chun-lan LIN Mo-di YANG Shang-zhao |
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| Affiliation: | (School of Physics and Telecommunication Engineering,South China Normal University,Guangzhou,Guangdong 510006,China) |
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| Abstract: | Lorenz water wheel is a model to describe the chaotic system.The movement equations are analyzed and a Lorenz water wheel is set up.The video analysis software tracker is used to trace the motion of the water wheel recorded by a mobile phone.The corresponding physical images,such as phase diagrams,are drawed quickly and easily.Both the chaotic attractor and the initial value sensitivity have been found.Then the system has been proved to be a chaotic system by analyzing several experimental images. |
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| Keywords: | chaos Lorenz water wheel tracker phase diagram |
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