Portal de Periódicos da CAPES

Minimal periodic orbits for continuous maps of the interval

1984; American Mathematical Society; Volume: 286; Issue: 2 Linguagem: Inglês

10.1090/s0002-9947-1984-0760976-5

1088-6850

Lluı́s Alsedà, Jaume Llibre, Rafel Serra,

Chaos control and synchronization

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.