This paper shows a simple construction of continuous involutions of real intervals in terms of continuous even functions. We also study smooth involutions defined by symmetric equations. Finally, we review some applications, in particular a characterization of isochronous potentials by means of smooth involutions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-1-2,
author = {Gaetano Zampieri},
title = {Involutions of real intervals},
journal = {Annales Polonici Mathematici},
volume = {111},
year = {2014},
pages = {25-35},
zbl = {1315.39010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-1-2}
}
Gaetano Zampieri. Involutions of real intervals. Annales Polonici Mathematici, Tome 111 (2014) pp. 25-35. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-1-2/