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chao-dyn1993
Regular unimodal systems and factors of finite automata
Petr Kurka
Dynamical systems at the edge of chaos, which have been considered as models of self-organization phenomena, are marked by their ability to perform nontrivial computations. To dist…
chao-dyn1993★ 2 cited
One-dimensional dynamics and factors of finite automata
Petr Kurka
We argue that simple dynamical systems are factors of finite automata, regarded as dynamical systems on discontinuum. We show that any homeomorphism of the real interval is of this…
chao-dyn1993
Dynamical Systems and Factors of Finite Automata
Petr Kurka
We conceive finite automata as dynamical systems on discontinuum and investigate their factors. Factors of finite automata include many well-known simple dynamical systems, e.g. hy…