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/