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A nonlinear dynamics perspective of Wolfram's new kind of science. Volume I /
This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is a...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, N.J. :
World Scientific Pub. Co.,
©2006.
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| Colección: | World Scientific series on nonlinear science. Monographs and treatises ;
v. 57. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Ch. 1. Threshold of complexity. 1. Introduction. 2. Cellular automata is a special case of CNN. 3. Every local rule is a cube with eight colored vertices. 4. Every local rule is a code for attractors of a dynamical system. 5. Every local rule has a unique complexity index
- ch. 2. Universal neuron. 1. Firing and quenching patterns. 2. A universal neuron. 3. Gallery of one-dimensional cellular automata. 4. Genealogic classification of local rules. 5. The double-helix torus. 6. Explaining and predicting pattern features
- ch. 3. Predicting the unpredictable. 1. Introduction. 2. Local versus global equivalence. 3. Predicting the unpredictable. 4. Predicting the predictable. 5. Concluding remarks.