UCSC: Porter 34B, Chaos, Fractals, and the Arts, Winter 2016

Homework 03. Assigned Wednesday January 20, 10 am

B. Readings

• Chaos in Discrete Dynamical Systems, 1997
  Chapter 3, 2D (ca 10 pp)

B. Locate a periodic window in the Mira family.

#1. Download the NetLogo model, mira-03.nlogo.

#2.: Use the model to find values of the parameter "a" and "b" sliders with periodic behavior.

• 2.1 Adjust the "a" slider to "0.7", do not change it
• 2.2 Adjust the "b" slider to several values between "-1.0" and "-0.4"
• 2.3 Click the "setup" button,
• 2.4 Click "go-50000" to create an image of the Mira attractor
• Repeat step 2.4 if it makes a better image
• You are looking for a screen that is nearly all black. Count the colored points to determine the period.

#3. Report the approximate values of "b" and the corresponding periods in an email to me at "rha@ucsc.edu".

C. NetLogo model

• #4. Download the NetLogo model, patches-02.nlogo.
• Change the model to make a patch pattern of your own.
• NetLogo Tutorials might be helpful, especially #6.
• Grab an image of the NetLogo interface showing your pattern and send it as an attachment to an email to me at "rha@ucsc.edu".
• #5. Modify yur piano model to function as a drum machine, suitable for playing in a drum circle in class.
• Send it to me via email, along with your Mira results and your patch pattern.