利用洛伦兹水车研究混沌现象

doi:10.16854 / j.cnki.1000-0712.190047

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

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Research on the chaos phenomena of Lorenz water wheel

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

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

Abstract

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

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, 39(01): 66-70.

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Research on the chaos phenomena of Lorenz water wheel

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