首页   按字顺浏览 期刊浏览 卷期浏览 Chaos in a double pendulum
Chaos in a double pendulum

 

作者: Troy Shinbrot,   Celso Grebogi,   Jack Wisdom,   James A. Yorke,  

 

期刊: American Journal of Physics  （AIP Available online 1992）
卷期: Volume 60, issue 6  

页码: 491-499

 

ISSN:0002-9505

 

年代: 1992

 

DOI:10.1119/1.16860

 

出版商: American Association of Physics Teachers

 

关键词: PENDULUMS;TRAJECTORIES;SENSITIVITY;ERRORS;PREDATOR−PREY INTERACTIONS;CLASSICAL MECHANICS;DYNAMICS

 

数据来源: AIP

 

摘要:

A novel demonstration of chaos in the double pendulum is discussed. Experiments to evaluate the sensitive dependence on initial conditions of the motion of the double pendulum are described. For typical initial conditions, the proposed experiment exhibits a growth of uncertainties which is exponential with exponent λ=7.5±1.5 s−1. Numerical simulations performed on an idealized model give good agreement, with the value λ=7.9±0.4 s−1. The exponents are positive, as expected for a chaotic system.

 

点击下载:  PDF (705KB)



返 回