Complex dynamics

Professor: Mark McClure

Handy Links

• Syllabus
• Course calendar
• Discourse

The text

• Notes on real iteration
• Examples of complex iteration
• Local theory
• The quadratic family

Javascript Demos

• Cobweb plots
• The complex square function
• Interactive basins of attraction
• Julia sets and the Mandelbrot set
• Zooming into the Mandelbrot set
• Newton's method

Ancillary code

• Exploring real iteration - [ Mathematica version | Python version ]
• The search for periodicity with Mathematica - [ Real version | Complex version ]
• A polynomial algorithm - Implementation in Python
• The attractive linearization:
    [Mathematica notebook for computation | Python implementation of a contour plot]
• Generating the Mandelbrot set - Implementation in Python
• Solutions to the take home portion - Mathematica Notebook
• Investigating the cubic parameter space - Mathematica Notebook
• Parabolic fixed points - Mathematica Notebook
• Solutions to the 2nd take home portion - Mathematica Notebook