Sharkovskii's theorem

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English

English Wikipedia has an article on:

Sharkovskii's theorem

Alternative forms

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

Etymology

Named after Oleksandr Mikolaiovich Sharkovsky.

Proper noun

Sharkovskii 's theorem

(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.

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