| c=0.0 |
| c=0.1 |
| c=0.2 |
| c=0.3 |
| c=0.4 |
| c=0.5 |
| c=0.6 |
| c=0.7 |
| c=0.8 |
| c=0.9 |
| c=1.0 |
| animate Click to repeat. |
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
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
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Return to Synchronization of Chaotic Processes.