- Documentation from Maplesoft
- Some Maple worksheets for dynamical systems from Northwestern University
- Encylopedia of Dynamical Systems - a little advanced for us, and unfinished, but it gives a sense of what's out there
- Links to some software from Stony Brook
- A ton of internet resources from the Chaos Hypertextbook
- Some applets from Bryn Mawr
- Maple worksheets and applets from the University of Bristol
- Chaos for Java from the Australian National University
- Newton's method from the University of Minnesota
- Introduction to chaos from the University of Toronto
- Dave Richeson's applets
Bifurcation diagrams
- Applet for drawing the bifurcation diagram for the function of your choice, from Emporia State University
- Zoomable bifurcation diagrams for a variety of functions, from Boston University
- Bifurcation diagrams for several maps, from the Chaos Hypertextbook
Logistic map
Fractals
- The Dynamical Systems and Technology Project at Boston University
- Dr. Riddle's Iterated Function Systems page
- Koch snowflake construction applet
- Koch snowflake zooming movie
- zoomable Koch snowflake
- Sierpinski triangle construction applet
- zooming Sierpinski movie from BU
- Complex Newton's method from Clark University
- Mandelbrot set from Yale
- Fractals in nature from Yale
- Newton's method applet
- another Newton's method applet This one does one step at a time.
- another Newton's method applet This one lets you enter your own function.
- Two examples of weird behavior: http://www.dougshaw.com/sesem/Summer14.html and http://www.dougshaw.com/sesem/Summer15.html
- Newton's method fractal applet If you use Newton's method on complex polynomials, you get a fractal.
- Newton's method numerically, from South Carolina (thanks to Ashley Bohnert for finding this)
2D dynamics
- The Henon map (zoomable)
- The Henon map from SDSU (can change parameters)
- Homoclinic points for the Henon map, and the horseshoe
- A homoclinic tangle
- Picture of one iterate of the Henon map
- The Ikeda map
- The Ikeda attractor
- Smale's paper Differentiable Dynamical Systems (the horseshoe is pictured on p. 771)
- Mappings of the plane from Cornell
- Linear maps from Smith
- Vector field applet
- Chaos in crab populations - New York Times article