Graphing Cobweb Attractors - Texas Instruments TI-82 STATS Manual Book

Graphing Cobweb Attractors

Problem
Procedure
17–8 Applications
Using format, you can identify points with attracting and
Web
repelling behavior in sequence graphing.
1. Press z. Select
y [
]. Select
FORMAT
settings.
2. Press o. Clear all functions and turn off all stat plots. Enter
the sequence that corresponds to the expression Y = K
X(1NX).
u(n)=Ku(nN1)(1Nu(nN1))
u(nMin)=.01
3. Press y [
QUIT
to .
2.9 K
4. Press p. Set the window variables.
nMin=0
nMax=10
PlotStart=1
PlotStep=1
5. Press r to display the graph, and then press ~ to trace
the cobweb. This is a cobweb with one attractor.
6. Change to
K 3.44
two attractors.
7. Change to
K 3.54
four attractors.
and the default mode settings. Press
Seq
format and the default format
Web
] to return to the home screen, and then store
Xmin=0
Xmax=1
Xscl=1
and trace the graph to show a cobweb with
and trace the graph to show a cobweb with
Ymin=M.26
Ymax=1.1
Yscl=1