On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions

Aliasghar Alikhani-Koopaei

International Journal of Mathematics and Mathematical Sciences, 2013, vol. 2013, 1-5

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:929475

DOI: 10.1155/2013/929475

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