Involutions of real intervals

Abstract

This paper shows a simple construction of the continuous involutions of real intervals in terms of the continuous even functions. We also study the smooth involutions defined by symmetric equations. Finally, we review some applications, in particular the characterization of the isochronous potentials by means of smooth involutions.

References in corpus (1)

• A remark on rational isochronous potentials

Cited by in corpus (1)

• Eigenvalues of the laplacian matrices of the cycles with one weighted edge