Algebraic Entropy of a Class of Five-Point Differential-Difference Equations
We compute the algebraic entropy of a class of integrable Volterra-like five-point differential-difference equations recently classified using the generalised symmetry method. We show that, when applicable, the results of the algebraic entropy agrees with the result of the generalised symmetry metho...
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Online Access: | https://www.mdpi.com/2073-8994/11/3/432 |
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doaj-f369f9f08a9344a5832a11f42bf48f7a2020-11-24T22:10:57ZengMDPI AGSymmetry2073-89942019-03-0111343210.3390/sym11030432sym11030432Algebraic Entropy of a Class of Five-Point Differential-Difference EquationsGiorgio Gubbiotti0School of Mathematics and Statistics F07, The University of Sydney, NSW 2006, AustraliaWe compute the algebraic entropy of a class of integrable Volterra-like five-point differential-difference equations recently classified using the generalised symmetry method. We show that, when applicable, the results of the algebraic entropy agrees with the result of the generalised symmetry method, as all the equations in this class have vanishing entropy.https://www.mdpi.com/2073-8994/11/3/432generalised symmetriesalgebraic entropyintegrability |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Giorgio Gubbiotti |
spellingShingle |
Giorgio Gubbiotti Algebraic Entropy of a Class of Five-Point Differential-Difference Equations Symmetry generalised symmetries algebraic entropy integrability |
author_facet |
Giorgio Gubbiotti |
author_sort |
Giorgio Gubbiotti |
title |
Algebraic Entropy of a Class of Five-Point Differential-Difference Equations |
title_short |
Algebraic Entropy of a Class of Five-Point Differential-Difference Equations |
title_full |
Algebraic Entropy of a Class of Five-Point Differential-Difference Equations |
title_fullStr |
Algebraic Entropy of a Class of Five-Point Differential-Difference Equations |
title_full_unstemmed |
Algebraic Entropy of a Class of Five-Point Differential-Difference Equations |
title_sort |
algebraic entropy of a class of five-point differential-difference equations |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2019-03-01 |
description |
We compute the algebraic entropy of a class of integrable Volterra-like five-point differential-difference equations recently classified using the generalised symmetry method. We show that, when applicable, the results of the algebraic entropy agrees with the result of the generalised symmetry method, as all the equations in this class have vanishing entropy. |
topic |
generalised symmetries algebraic entropy integrability |
url |
https://www.mdpi.com/2073-8994/11/3/432 |
work_keys_str_mv |
AT giorgiogubbiotti algebraicentropyofaclassoffivepointdifferentialdifferenceequations |
_version_ |
1725806265207095296 |