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 characteri- zation of isochronous potentials by means of smooth involutions.
Involutions of real intervals
ZAMPIERI, Gaetano
2014-01-01
Abstract
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 characteri- zation of isochronous potentials by means of smooth involutions.
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