When Chaos Meets Computers
Li, SJ (2005) When Chaos Meets Computers .
Available under License : See the attached licence file.
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".
|Divisions :||Faculty of Engineering and Physical Sciences > Computing Science|
|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|
Actions (login required)
Downloads per month over past year