Abstract
We prove that, given a tree pattern P, the set of periods of a minimal representative f: T → T of P is contained in the set of periods of any other representative. This statement is an immediate corollary of the following stronger result: there is a period-preserving injection from the set of periodic points of f into that of any other representative of P. We prove this result by extending the main theorem of [6] to negative cycles.
Original language | English |
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Pages (from-to) | 511-541 |
Journal | Discrete and Continuous Dynamical Systems |
Volume | 20 |
Issue number | 3 |
Publication status | Published - 1 Mar 2008 |
Keywords
- Minimal dynamics
- Tree maps