Self-Organized Criticality and Cellular Automata
- Abelian group
A mathematical group wherein all the elements commute.
A possibly large disturbance induced in a system by a small perturbation.
- Cellular automaton
This refers to the dynamics of a collection of cells each of which can be in a finite set of states. The evolution is discrete, with the state of a cell at the next time step being dependent only on its previous state and that of its neighbors.
The tendency of a system of a few degrees of freedom to exhibit highly erratic behavior characterized by an infinite range of time scales.
- Self-organized criticality
The tendency of certain discrete and dissipative dynamical systems to evolve to a state where changes occur over all possible length scales.
Definition of the Subject
Self-organized criticality is a concept invoked to explain the frequent occurrence of fractal structures and multiscale phenomena in nature. In contrast with the ideas of chaos, here simple common features appear in systems with many...
- Christensen K (1992) Self-organization in models of sandpiles, earthquakes, and fireflies. PhD thesis, University of AarhusGoogle Scholar
- The latest version of the xtoys package is available at http://thy.phy.bnl.gov/www/xtoys/xtoys.html
- Wikipedia (2007a) Conway’s game of life. http://enwikipedia.org/wiki/Conwav’slife. Accessed 6 Apr 2007
- Wikipedia (2007b) Garden of Eden pattern. http://en.wikipedia.org/wiki/Garden_of_Eden_pattem. Accessed 6 Apr 2007
Books and Reviews
- Gore A (1992) Earth in the balance: ecology and the human spirit. Plume, BostonGoogle Scholar