# Sharkovskii's theorem

> English word · Proper noun

## Definitions
1. 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.

## Etymology
Named after Oleksandr Mikolaiovich Sharkovsky.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/sharkovskii-s-theorem