When Chaos Meets Computers

  title={When Chaos Meets Computers},
  author={Shujun Li},
This paper focuses on an interesting phenomena 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… CONTINUE READING
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