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Paper on Chaos

 


Bikerman
I'm puting together an introduction to chaos theory as a simple non-technical paper and would appreciate any feedback/criticism from science posters.

http://bikerman.info/resources/mywork/chaos.html
Bikerman
I've just updated this so I thought I'd see if anyone wanted to try it out.
newolder
Very Happy

It's now on my resource lists too. Cheers again. ed. Smile
Bikerman
newolder wrote:
Very Happy

It's now on my resource lists too. Cheers again. ed. Smile

Any suggestions for improvement or corrections, as always, welcome and gratefully received Smile
Bikerman
http://bikerman.info/resources/mywork/chaos-new.html
newolder
Bikerman wrote:
http://bikerman.info/resources/mywork/chaos-new.html


The applet immediately below, "Start by selecting the clicking the PLOT button and then, to zoom in, first click on zoom in and then drag out a square where you wish to zoom. You can zoom out at any point by simply clicking the zoom-out button." appears as a 'red-x, top-left' container only (ie7). All else on the page is fine. Smile
Gagnar The Unruly
That's seems like a great resource for getting into chaos theory. I love all the user-controllable applets.

One niggle -- I don't believe that it's accurate to say that the logistic map is more familiar to biologists than the logistic growth equation. I believe that the most familiar growth equations to most biologists are differential equations, such as the logistic growth equation:

dP/dt = rP*(1-K/P)

or

P(t) = [KPo*e^(rt)]/(K+Po[e^(rt)-1])

In general, I believe that most population modelling still relies on differential equations and chaos is ignored except as a special case for certain systems. Chaos doesn't really creep into the general ecology curriculum, except perhaps for theoretical ecologists. I'll check my ecology textbook to see where/how the logistic map pops up.
Bikerman
Gagnar The Unruly wrote:
One niggle -- I don't believe that it's accurate to say that the logistic map is more familiar to biologists than the logistic growth equation. I believe that the most familiar growth equations to most biologists are differential equations, such as the logistic growth equation:

dP/dt = rP*(1-K/P)

or

P(t) = [KPo*e^(rt)]/(K+Po[e^(rt)-1])

In general, I believe that most population modelling still relies on differential equations and chaos is ignored except as a special case for certain systems. Chaos doesn't really creep into the general ecology curriculum, except perhaps for theoretical ecologists. I'll check my ecology textbook to see where/how the logistic map pops up.

Fair point...I'll amend as needed.
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