Sharkovskii's theorem

proper noun

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.

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Meanings

proper noun

alternative Sharkovsky's theorem · alternative Sharkovskiy's theorem · alternative Sarkovskii's theorem

  1. mathematicsA 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.

Origin

Named after Oleksandr Mikolaiovich Sharkovsky.

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Cite this entry
APA

Sharkovskii's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Sharkovskii's%20theorem

MLA

“Sharkovskii's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Sharkovskii's%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Sharkovskii's theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Sharkovskii's%20theorem.

Source: Sharkovskii's theorem on Wiktionary, CC BY-SA 4.0.