Chaos and Fractals

Fall 2017

Professor: Mark McClure

Handy Links

• Syllabus
• Course calendar
• Chaotic Talk (an archived forum)
• The text

Demos

• Lorenz's experiment
• Newton's method for complex polynomials
• Cobweb plots
• The chaos game
• IFS Visualizer

Handouts

• Newton's method lab: [ Mathematica | Python ]
• Homework 1
• Homework 2
• Fractal notes

Ancillary code

• Generating cobweb plots and bifurcation diagrams:
  [ Mathematica Notebook | Python code ]
• An example HW solution: Mathematica Notebook
• Finding periodic orbits:
  [ Mathematica Notebook | Python code ]
• Mathematica packages for self-similarity

Research Papers

• Period Three Implies Chaos
• On Ordering the Natural Numbers or The Sharkovski Theorem