Sharkovskii's theorem

English

Alternative forms

• Sharkovsky's theorem, Sharkovskiy's theorem, Sarkovskii's theorem

Etymology

Named after Oleksandr Mikolaiovich Sharkovsky.

Proper noun

Sharkovskii's theorem

1. (mathematics) A theorem about discrete dynamical systems. One of its implications is that if a discrete dynamical system on the real line has a periodic point of period 3, then it must have periodic points of every other period.