利用洛伦兹水车研究混沌现象
收稿日期: 2019-02-03
修回日期: 2019-04-09
网络出版日期: 2020-03-02
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
Received date: 2019-02-03
Revised date: 2019-04-09
Online published: 2020-03-02
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 , 39(01) : 66 -70 . DOI: 10.16854 / j.cnki.1000-0712.190047
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
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