On the set of fixed points and periodic points of continuously differentiable functions (Q1950026)

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scientific article; zbMATH DE number 6165374
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On the set of fixed points and periodic points of continuously differentiable functions
scientific article; zbMATH DE number 6165374

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    On the set of fixed points and periodic points of continuously differentiable functions (English)
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    23 May 2013
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    Summary: In recent years, researchers have studied the size of different sets related to the dynamics of self-maps of an interval. We investigate the sets of fixed points and periodic points of continuously differentiable functions and show that typically such functions have a finite set of fixed points and a countable set of periodic points.
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