Coupled Map Lattices
A time evolution plot of a one dimensional coupled map lattice with periodic boundary, where
the map is x <-- a+x/(b+x^2). The color indicates the value of the map
residing at that lattice point.
Simple maps like the logistic map x <-- rx(1-x) can have complicated one dimensional
dynamics. When
two or more unimodal maps are coupled together we get an extended system with complex dynamics, such as
the system pictured above. Even though the individual maps in the above picture are
operating in a chaotic region of their parameter plane, there is an order to their
coupled evolution.
