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When Chaos Meets Computers

Li, SJ (2005) When Chaos Meets Computers .

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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 :
Li, SJ
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 : 31 Oct 2017 14:35

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