大学物理 ›› 2020, Vol. 39 ›› Issue (01): 66-70.doi: 10.16854 / j.cnki.1000-0712.190047

• 大学生园地 • 上一篇    下一篇

利用洛伦兹水车研究混沌现象

成乃涵,程敏熙,李春兰,林莫迪,杨上照   

  1. 华南师范大学物理与电信工程学院,广东广州 510006
  • 收稿日期:2019-02-03 修回日期:2019-04-09 出版日期:2020-01-20 发布日期:2020-03-02
  • 通讯作者: 程敏熙,E-mail:chengmx@ scnu.edu.cn
  • 作者简介:成乃涵(1998—),女,河北张家口人,华南师范大学物理与电信工程学院2016 级本科生.
  • 基金资助:
    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

Research on the chaos phenomena of Lorenz water wheel

CHENG Nai-han,CHENG Min-xi,LI Chun-lan,LIN Mo-di,YANG Shang-zhao   

  1. School of Physics and Telecommunication Engineering,South China Normal University,Guangzhou,Guangdong 510006,China
  • Received:2019-02-03 Revised:2019-04-09 Online:2020-01-20 Published:2020-03-02

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.

关键词: 混沌, 洛伦兹水车, Tracker, 相图

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.

Key words: chaos, Lorenz water wheel, tracker, phase diagram