Christian Hyugens discovered that pendulum clocks with the same length pendulua synchronize (well, anti-synchronize) when supported nearby one another.
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Little surprise that periodic processes can synchronize, but what about chaotic processes?
| The coupled map lattice model, a combination of logistic maps that can synchronize, even when chaotic. |
| Examples of synchronizing 10 coupled logistic maps with s = 3.9, as the coupling constant varies from 0 to 1. |
| Examples of synchronizing 10 coupled logistic maps with s = 3.99, as the coupling constant varies from 0 to 1. |
| Now we average the outputs of the logistic maps. |
| To look for synchronization, first we examine the IFS driven by averages of coupled logistic maps. |
| The driven IFS experiments suggest that for c near the middle ranges, the logistic maps synchronize. We investigate further using return maps. |
| Here is an application to secure communication. |
Return to Deterministic Chaos.