MathWorld classroom

Topics in a Dynamical Systems Course

To learn more about a topic listed below, click the topic name to go to the corresponding MathWorld classroom page.

Chaos In mathematics, chaos refers to irregular, unpredictable behavior characterized by sensitive dependence on initial conditions such as that exhibited by some classes of nonlinear differential equations.
Dynamical System A dynamical system is a description of the way a complex system changes over time.
Fractal A fractal is an object or quantity that displays self-similarity on all scales.
Mandelbrot Set The Mandelbrot set is a fractal consisting of all complex numbers c such that the corresponding Julia set of the function f(z) = z^2 + c is connected.