UCSC: Porter 34B, Chaos, Fractals, and the Arts, Spring 2009

Meeting #02, Thursday 09 April

Assignment 2

• This assignment is due on Wednesday, 15 April, at 10:00 pm
• Written responses are to be delivered via email to 'abraham@vismath.org'
• Late responses will be discarded

Read Section 2.3 (pp. 16-22) of Chaos in Discrete Dynamical Systems on

The KL Process "Vertigo-Horrid" [PDF, 100 KB download]

Do some experiments in your browser with the

Flash Applet for the Logistic Family

Record your values of Initial X and Parameter R and what you observe

Find some fixed points (FPs)

Are your fixed points attractive or repulsive ???

HINT: Explore the behavior of points nearby (on both sides) of an FP

Email to me (as your assignment 02) a table of three values for each of five FPs:

initial X, parameter R, attractive or repelling