Algebraic Entropy of a Class of Five-Point Differential-Difference Equations

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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Bibliographic Details
Main Author: Giorgio Gubbiotti
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Symmetry
Subjects:
generalised symmetries
algebraic entropy
integrability
Online Access:https://www.mdpi.com/2073-8994/11/3/432
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spelling 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

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