On the set of fixed points and periodic points of continuously differentiable functions

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Abstract

In recent years, researchers have studied the size of different sets related to the dynamics of self-maps of an interval. In this note 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.

Original languageEnglish (US)
Article number929475
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2013
DOIs
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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