Self-organized criticality in a deterministic automaton
- 20 August 1990
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 65 (8), 949-952
- https://doi.org/10.1103/physrevlett.65.949
Abstract
We study a deterministic version of the cellular automaton first shown to display self-organized criticality. Detailed analysis shows that there exist many coexisting periodic attractors, with a period that is independent of initial condition. This leads us to picture the critical state as the union of many such coexisting, neutrally stable orbits. Dhar’s recently developed formalism [Phys. Rev. Lett. 64, 1613 (1990)] can be used to explain many of the observed regularities.Keywords
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