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.
||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.
||A dynamical system is a description of the way a complex system changes over time.
||A fractal is an object or quantity that displays self-similarity on all scales.
||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.