If you just want to get a rough idea of what kind of
complex behaviour is generated by coupled map lattices,
look at the following pictures.
They show the
states of 1-dimensional diffusively
coupled map lattices in space and time.
The colour at each pixel on the 100 X 100 lattice represents the
value of
an iterate of a local map
according to the following colour code:
red: value near to -1
yellow: value near to -0.2
green: value near to +0.2
blue: value near to +1
The horizontal direction is space, the vertical direction time.
In the various pictures the coupling strength between the local maps
is varied.
If you would like to learn more on coupled map
lattices and their physical applications,
you may look into this
book of mine.
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