# Deterministic Chaos

## Synchronization of Chaotic Processes

To check the apparent synchronization suggested by the driven IFS, here we plot the
return maps for the average of two logistic maps.

Recall the return map for a single logistic map is just the
graph of the function
y = L(x).

So when the return map of the average of two coupled maps
is the graph of a logistic function, we have good evidence the functions have
synchronized.

Note each is chaotic, exhibiting sensitivity to initial conditions, and we did
not start them at the same x-value. Nevertheless, they synchronize in a range
between about c = 0.3 and c = 0.7.

Return to Synchronization of Chaotic Processes.