Timeline for Applications of discrete-time dynamics
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 20, 2013 at 18:15 | answer | added | Jörg Neunhäuserer | timeline score: 0 | |
| Feb 13, 2013 at 13:56 | vote | accept | Albert | ||
| Feb 11, 2013 at 16:31 | comment | added | Vaughn Climenhaga | As a mathematician and not a biologist, I'm not the most qualified to speak to the biological relevance of the model. The fact that it was a biologist and not a mathematician who wrote the paper popularising the model suggests to me that it is of more than just mathematical interest. I think his paper itself may have a better discussion of this issue. | |
| Feb 11, 2013 at 16:24 | answer | added | Piyush Grover | timeline score: 1 | |
| Feb 11, 2013 at 16:22 | comment | added | Albert | @vaughn : yes, but my question is precisely : is such chaos observed in his experiment ? equivalently, is the model relevant ? | |
| Feb 11, 2013 at 15:44 | answer | added | Lasse Rempe | timeline score: 5 | |
| Feb 11, 2013 at 15:00 | comment | added | Vaughn Climenhaga | The logistic map $x\mapsto \lambda x(1-x)$ was popularised by a biologist, Robert May, in a 1976 paper in Nature, where it is indeed motivated by considering the dynamics of a population with non-overlapping generations. Presence or absence of "chaotic" behaviour depends in a quite subtle manner on the parameter $\lambda$, but for a positive measure set of parameter values, there is an absolutely continuous invariant measure and positive Lyapunov exponent, which is interpreted as chaos. (The logistic equation $\dot{x} = \lambda x(1-x)$ also models population growth, but without chaos.) | |
| Feb 11, 2013 at 14:36 | answer | added | Alexandre Eremenko | timeline score: 4 | |
| Feb 11, 2013 at 13:44 | answer | added | Carlo Beenakker | timeline score: 4 | |
| Feb 11, 2013 at 13:32 | answer | added | user7807 | timeline score: 1 | |
| Feb 11, 2013 at 13:09 | comment | added | Albert | to my knowledge, the logistic equation modelizes population growth (among other things) and chaos is not observed in such problems | |
| Feb 11, 2013 at 11:10 | history | asked | Albert | CC BY-SA 3.0 |