Chaotic Systems (IMAGE)
Caption
The figure shows two chaotic systems starting in very different places in their orbits, but soon synchronize and do a "dance" much like synchronized swimmers. Despite the complicated orbits, they come to follow each other almost exactly. Stopping after a short time shows they are both in the same state. This will never happen with two chaotic systems, which unconnected will have motions completely uncorrelated with each other. Note the systems can be remotely located from each other and signals connecting them the right way will cause synchronization.
Credit
U.S. Naval Research Laboratory
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