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• W2261515843 abstract "This note is intended primarily for college calculus students right after the introduction of the Intermediate Value Theorem, to show them how the Intermediate Value Theorem is used repeatedly and straightforwardly to prove the celebrated Sharkovsky's theorem on the periods of coexistent periodic orbits of continuous maps on an interval. Furthermore, if the maps have a periodic orbit P of odd period > 1, then we find more periodic points, in the appendix, which constitute what we call the towers of periodic points associated with P. These towers of periodic points have infinitely many layers. In this note, no knowledge of Dynamical Systems Theory is required." @default.
• W2261515843 created "2016-06-24" @default.
• W2261515843 creator A5030318514 @default.
• W2261515843 date "2015-07-17" @default.
• W2261515843 modified "2023-09-27" @default.
• W2261515843 title "An Interesting Application of the Intermediate Value Theorem: A Simple Proof of Sharkovsky's Theorem" @default.
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