Graphing Cobweb Attractors - Texas Instruments TI-83 Manual Book

Graphing Cobweb Attractors

Problem
Procedure
17-8 Applications
Using format, you can identify points with attracting
Web
and repelling behavior in sequence graphing.
1. Press z. Select
Press y [
FORMAT
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( n N1)(1Nu( n N1))
u( n Min)=.01
3. Press y [
QUIT
store to .
2.9 K
4. Press p. Set the window variables.
n Min=0
n Max=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
with two attractors.
7. Change to
K 3.54
with four attractors.
and the default mode settings.
Seq
]. Select format and the default
Web
] to return to the home screen, and then
Xmin=0
Xmax=1
Xscl=1
and trace the graph to show a cobweb
and trace the graph to show a cobweb
Ymin=M.26
Ymax=1.1
Yscl=1