Logistic map
$$x_{n+1}=rx_n(1-x_n)$$

Question

Logistic map
$$x_{n+1}=rx_n(1-x_n)$$

hartnn · Answer

tell us more about it ....

anonymous · Answer

$$x_0$$?

unklerhaukus · Answer

i dont understand it

anonymous · Answer

The map? Or how to code it?

unklerhaukus · Answer

well i dont think my code is working 

but i dont even really get the concept of  a logistic map ,
and what exactly is Bifurcation?

anonymous · Answer

OK, you have ax(1-x) and you check the orbits as a varies.

When a is just above 3, the stable fixed point is replaced by a period 2 sink ie a bifurcation into an orbit of 2 alternating values.

unklerhaukus · Answer

ok i do not understand bifurcation

anonymous · Answer

Did you ever do cobweb plots?

anonymous · Answer

http://en.wikipedia.org/wiki/Cobweb_plots

unklerhaukus · Answer

i havent studied them at all,

anonymous · Answer

Check out the link....

unklerhaukus · Answer

yeah the pictures are good, but i dont really know what they are pictures of

anonymous · Answer

Um..try follow the method given at the link...

anonymous · Answer

This page might also be helpful http://en.wikipedia.org/wiki/Fixed_point_%28mathematics%29

unklerhaukus · Answer

i have read that page a few times now

unklerhaukus · Answer

ok ill read this link too

anonymous · Answer

I think I have somewhere around Maple code for the logistic map...

unklerhaukus · Answer

im using Matlab

anonymous · Answer

http://www.dam.brown.edu/people/cch/am136/mfiles.html Might help to start with

anonymous · Answer

http://www.mathworks.com/matlabcentral/answers/13469

unklerhaukus · Answer

i dont understand

experimentx · Answer

looks like chaos

unklerhaukus · Answer

i know right

experimentx · Answer

I don't know much about this .. probably you meant this http://en.wikipedia.org/wiki/File:LogisticMap_BifurcationDiagram.png

anonymous · Answer

Still don't understand, eh?

Which part? (Please don't say 'all of it':-)

unklerhaukus · Answer

what is it a picture of ?