The simplest deterministic self-organized critical system

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  • 14 July 1999
Abstract
We introduce a new continuous cellular automaton that presents self-organized criticality. It is one-dimensional, totally deterministic, without any kind of embedded randomness, not even in the initial conditions. This system is in the same universality class as the Oslo rice pile system, boundary driven interface depinning and the train model for earthquakes. In it we find chaotic behavior, with the largest Liapunov exponents depending on the system size via a power-law. Even with finite drive, the system is still self-organized critical, up to a given system size.

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