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While there has been a keen interest in studying computation at the edge ofchaos for dynamical systems undergoing a phase transition, this has come underquestion for cellular automata. We show that for continuously deformed cellularautomata there is an enhancement of computation capabilities as the systemmoves towards cellular automata with chaotic spatiotemporal behavior. Thecomputation capabilities are followed by looking into the Shannon entropy rateand the excess entropy, which allows identifying the balance betweenunpredictability and complexity. Enhanced computation power shows as anincrease of excess entropy while the system entropy density has a sudden jumpto values near one. The analysis is extended to a system of non-linear locallycoupled oscillators that have been reported to exhibit spatiotemporal diagramssimilar to cellular automata.

Computational capabilities at the edge of chaos for one dimensional system undergoing continuous transitions