File: logbif.ode

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# this is an example showing the logistic bifurcation diagram
f(x,a)=a*x*(1-x)
# here is the map
x'=f(x,aa)
# keep tabs on the parameter for plotting
a'=aa
# dummy index so you can change range without reloading
par ind
# define a in terms of the index ind over which we range
!aa=amin+(amax-amin)*ind/200
# 
init x=.1
# change amin and amax to change the window
par amin=2,amax=4
@ maxstor=11000,total=400,trans=350,meth=discrete
@ xlo=2,xhi=4.001,ylo=0,yhi=1.001,xp=a,yp=x
@ range=1,rangeover=ind
@ rangereset=no
@ rangelow=0,rangehigh=200,rangestep=200
@ LT=0
done