Abstract
We consider the formal languages generated from kneading sequences (KS) in unimodal maps on an interval. The usefulness of an equivalence relation RL. and the Myhill-Nerode theorem in dynamical systems has been explored. A necessary and sufficient condition for the languages being regular is proved. The minimal DFA for periodic KS is determined. A simple proof is provided to show that the language of the Feigenbaum attractor is not regular.
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