Computer Science
8 years ago

Chaotic maps fall short in generating order patterns, revealing limitations of determinism.

Physics Letters A
Order patterns and chaos
José M. Amigó, Ljupčo Kocarev, Janusz Szczepański

Paper Summary

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Chaotic maps can imitate randomness well but struggle to create ordered patterns effectively. This shows a limit of deterministic dynamics compared to randomness. A test using 'forbidden' order patterns can distinguish chaotic from truly random data with high accuracy. This research also touches on connections to discrete chaos and chaotic cryptography.