The Importance of Being Discrete - Life Always Wins on the Surface

Posted by Roger Critchlow-2 on Dec 31, 2003; 5:46pm
URL: http://friam.383.s1.nabble.com/The-Importance-of-Being-Discrete-Life-Always-Wins-on-the-Surface-tp519040p519044.html



Bruce Sawhill wrote:

> There are several famous examples where discreteness gives a
> completely different result than continuity:
>
> 1.  Period doubling route to chaos (discrete iteration of logistic
> equation x[i+1]=r x[i](1-x[i]).  Continuity (integrating differential
> equation) gives S-curve to saturation.

This example was reported by Robert M. May in Science, 15 November 1974,
186:645-647.

-- rec --