Graphing Cobweb Attractors - Texas Instruments TI-84 Plus Manual Book

Graphing Cobweb Attractors

Problem
Using format, you can identify points with attracting and repelling
Web
behavior in sequence graphing.
Procedure
Press z. Select
1.
.. Select
Press o. Clear all functions and turn off all stat plots. Enter the
2.
sequence that corresponds to the expression Y = K X(1NX).
n n
N
u( )=Ku(
n
u( Min)=.01
Press y 5 to return to the home screen, and then store
3.
Press p. Set the window variables.
4.
n
Min=0
n
Max=10
PlotStart=1
PlotStep=1
Press r to display the graph, and then press ~ to trace the
5.
cobweb. This is a cobweb with one attractor.
6. Change to
K
attractors.
7. Change to
K
attractors.
Activities
and the default mode settings. Press y
Seq
format and the default format settings.
Web
n
N N
1)(1 u( 1))
Xmin=0
Xmax=1
Xscl=1
and trace the graph to show a cobweb with two
3.44
and trace the graph to show a cobweb with four
3.54
M
Ymin= .26
Ymax=1.1
Yscl=1
to .
2.9 K
79