Abstract
For continuous maps of the interval into itself, Sarkovskii’s Theorem gives the notion of minimal periodic orbit. We complete the characterization of the behavior of minimal periodic orbits. Also, we show for unimodal maps that the min-max essentially describes the behavior of minimal periodic orbits. © 1984 American Mathematical Society.
Original language | English |
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Pages (from-to) | 595-627 |
Journal | Transactions of the American Mathematical Society |
Volume | 286 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jan 1984 |
Keywords
- Min-max
- Minimal periodic orbit
- Periodic point
- Simple periodic orbit
- Unimodal map