Graphing cobweb attractors, Problem, Procedure – Texas Instruments TI-84 User Manual

Page 492

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Chapter 17: Activities

489

Graphing Cobweb Attractors

Graphing Cobweb Attractors

Graphing Cobweb Attractors

Graphing Cobweb Attractors

Problem

Problem

Problem

Problem

Using

Web

format, you can identify points with attracting and repelling behavior in

sequence graphing.

Procedure

Procedure

Procedure

Procedure

1.

Press

z. Select

Seq

and the default mode settings. Press

y .. Select

Web

format and the default 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(1

NX).

u(n)=Ku(n

N

1)(1

N

u(n

N

1))

u(nMin)=.01

3.

Press

y 5 to return to the home screen, and then store

2.9

to

K

.

4.

Press

p. Set the window variables.

5.

Press

r to display the graph, and then press ~ to trace the cobweb. This is a

cobweb with one attractor.

nMin=0
nMax=10
PlotStart=1
PlotStep=1

Xmin=0
Xmax=1
Xscl=1

Ymin=

M

.26

Ymax=1.1
Yscl=1

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