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THE FINITE AUTOMATA OF EVENTUALLY PERIODIC UNIMODAL MAPS ON THE INTERVAL |
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| Authors: | Xie Huimin |
| Institution: | Xie Huimin Department of Mathematics |
| Abstract: | For unimodal maps on the interval we prove that, if the kneading sequences (KS) are eventually periodic, then their formal languages are regular ones. The finite automata for such languages are constructed. Comparing with the languages generated by periodic KS, it is shown that the languages here are not finite complement languages. |
| Keywords: | Dynamical system Unimodal map Kneading sequence |
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