CC MATHEMATICS  CHAOS AND CALCULUS

FRACTALS:

Simulation Software: Includes chaos games with different ratios and numbers of vertices, and snowflake fractal generator.
Dynamical Systems at Boston University: A fractal and chaos site that includes the Chaos game, material on the play Arcadia, and applets for the tent and logistic maps.
Chaos Theory and Fractal Geometry Online course in chaos theory and fractals
Fractals; An Introduction:  A nice tutorial-style introduction to fractals with excellent Java applets.
Ferns A biology enthusiast describes different settings for the Fern IFS.
 Binary Fractal Trees Some information on labeling points. Animations of the above and other fractals

   CALCULUS:

That's Calculus Film clips present a humorous review of limits and derivatives
Differentiation game Match functions with first and second derivatives
Integration applet Graphical demonstration of area under the curve and Riemann sums
Geometric series An introduction to geometric series for kids

BUTTERFLY EFFECT:

Simple Pendulum demonstration
Double Pendulum demonstration
The Lorenz Attractor

ARCADIA:

Chaos, Fractals, and Arcadia
Arcadia and the Steam Engine
Math in Arcadia
Tom Stoppard
Eden Prairie High School Arcadia site
Love and the Second Law of Thermodynamics (AMS Review) Poster for the play by Richard Boxall

TENT AND LOGISTIC MAPS

Nonlinear Dynamical Systems Applet Follow orbits of points under selected iterates of the tent, logistic, or sine map. 
Bifurcation Diagram Applet
Zoom in on pieces of bifurcation diagram for tent, logistic or sine map

Logistic map Applet

Adjust starting point and parameter, watch orbit evolve.

LIBRARY OF BABEL

The Library of Babel picture
  

The Library of Babel simulation

ALSO OF INTEREST

Chaos Tiles A site about a new domino-like game called Chaos Tiles 

          Fractal Music A Discovery Channel site with music clips

 


CC MATHEMATICS    CHAOS AND CALCULUS