[LINK] Numbers limit how accurately digital computers model chaos

Bernard Robertson-Dunn brd at iimetro.com.au
Wed Sep 25 09:29:52 AEST 2019

On 25/09/2019 1:16 am, Jevan Pipitone wrote:
> https://en.wikipedia.org/wiki/Butterfly_effect
> "In chaos theory, the butterfly effect is the sensitive dependence on initial conditions in which a small change in one state of a deterministic nonlinear system can result in large differences in a later state.[1]"

Which is a bit of a simplification.

When you use numerical methods to solve dynamic non-linear system
equations, every iteration has initial conditions. This means that
reducing the iteration time actually increases the potential for error.

Scientists and engineers hate non-linearity. Unfortunately the world is
essentially non-linear.

> Jevan.
> On Tue, 24 Sep 2019 07:10:16 +0000
> Stephen Loosley <StephenLoosley at outlook.com> wrote:
>> The study builds on the work of Edward Lorenz of MIT whose weather simulations using a simple computer model in the 1960s showed that tiny rounding errors in the numbers fed into his computer led to quite different forecasts, which is now known as the 'butterfly effect'.



Bernard Robertson-Dunn
Canberra Australia
email: brd at iimetro.com.au

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