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Graphics, Bifurcation, Order and Chaos

 

作者: C.A. Pickover,  

 

期刊: Computer Graphics Forum  (WILEY Available online 1987)
卷期: Volume 6, issue 1  

页码: 26-33

 

ISSN:0167-7055

 

年代: 1987

 

DOI:10.1111/j.1467-8659.1987.tb00342.x

 

出版商: Blackwell Publishing Ltd

 

数据来源: WILEY

 

摘要:

AbstractChaos theory involves the study of how complicated behaviour can arise in systems which are based on simple rules, and how minute changes in the input of a system can lead to large differences in the output. In this paper, bifurcation maps of the education Xt+1=αλXt[1+Xt]‐β, whereα=1 or α=e‐Xi, are presented, and they reveal a visually striking and intricate class of patterns ranging from stable points, to a bifurcating hierarchy of stable cycles, to apparently random fluctuations. The computer‐based system presented is special in its primary focus on the fast characterization of simple “chacs equation” data using an interactive graphics system with a variety of controll

 

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