Last Updated
：2025/11/29
Sharkovskii's theorem
Proper noun
Japanese Meaning
数学における定理。離散力学系に関する定理であり、その含意の一つとして、実数直線上の離散力学系で周期3の周期点が存在する場合、あらゆる他の周期の周期点が存在することを意味する。
Quizzes for review
(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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Sharkovskii's theorem
In my nonlinear dynamics seminar, we spent the afternoon proving Sharkovskii's theorem and exploring its consequences for one-dimensional maps.
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In my nonlinear dynamics seminar, we spent the afternoon proving Sharkovskii's theorem and exploring its consequences for one-dimensional maps.
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