Involutions of real intervals
Annales Polonici Mathematici (2014)
- Volume: 112, Issue: 1, page 25-35
- ISSN: 0066-2216
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topGaetano Zampieri. "Involutions of real intervals." Annales Polonici Mathematici 112.1 (2014): 25-35. <http://eudml.org/doc/280813>.
@article{GaetanoZampieri2014,
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 characterization of isochronous potentials by means of smooth involutions.},
author = {Gaetano Zampieri},
journal = {Annales Polonici Mathematici},
keywords = {involutions of real intervals; even functions; symmetric equations; implicit function theorem; isochronous center; isochronous potentials; Lyapunov stability; functional-differential equations; convolution},
language = {eng},
number = {1},
pages = {25-35},
title = {Involutions of real intervals},
url = {http://eudml.org/doc/280813},
volume = {112},
year = {2014},
}
TY - JOUR
AU - Gaetano Zampieri
TI - Involutions of real intervals
JO - Annales Polonici Mathematici
PY - 2014
VL - 112
IS - 1
SP - 25
EP - 35
AB - 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.
LA - eng
KW - involutions of real intervals; even functions; symmetric equations; implicit function theorem; isochronous center; isochronous potentials; Lyapunov stability; functional-differential equations; convolution
UR - http://eudml.org/doc/280813
ER -
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