## Cellular Automata and Continuous Functions: Negative Results

- Yuri Ozhigov
- Complex Systems
- 1996

We conceive nite automata as dynamical systems on discontin-uum and investigate their factors. Factors of nite automata include many well-known simple dynamical systems, e.g. hyperbolic systems and systems with nite attractors. In the quadratic family on the real interval, factors of nite automata include all systems with nite number of periodic points, as… (More)

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