University of Surrey

Test tubes in the lab Research in the ATI Dance Research

When Chaos Meets Computers

Li, SJ (2005) When Chaos Meets Computers .

[img]
Preview
PDF
0405038v3.pdf
Available under License : See the attached licence file.

Download (130kB)
[img]
Preview
PDF (licence)
SRI_deposit_agreement.pdf

Download (33kB)

Abstract

This paper focuses on an interesting phenomenon when chaos meets computers. It is found that digital computers are absolutely incapable of showing true long-time dynamics of some chaotic systems, including the tent map, the Bernoulli shift map and their analogues, even in a high-precision floating-point arithmetic. Although the results cannot directly generalized to most chaotic systems, the risk of using digital computers to numerically study continuous dynamical systems is shown clearly. As a result, we reach the old saying that "it is impossible to do everything with computers only".

Item Type: Other
Divisions : Faculty of Engineering and Physical Sciences > Computing Science
Authors :
AuthorsEmailORCID
Li, SJUNSPECIFIEDUNSPECIFIED
Date : 12 December 2005
Related URLs :
Additional Information : This is an arXiv publication
Depositing User : Symplectic Elements
Date Deposited : 26 Aug 2015 13:48
Last Modified : 26 Aug 2015 13:48
URI: http://epubs.surrey.ac.uk/id/eprint/532617

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800