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

Aliasghar Alikhani-Koopaei

doi:10.1155/2013/929475

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

Aliasghar Alikhani-Koopaei

Division of Science (Berks)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 language	English (US)
Article number	929475
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2013
DOIs	https://doi.org/10.1155/2013/929475
State	Published - 2013

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1155/2013/929475

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

Abstract

All Science Journal Classification (ASJC) codes

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