Algebraic entropy for semi-discrete equations
Exactly Solvable and Integrable Systems
2015-06-05 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We extend the definition of algebraic entropy to semi-discrete (difference-differential) equations. Calculating the entropy for a number of integrable and non integrable systems, we show that its vanishing is a characteristic feature of integrability for this type of equations.
Cite
@article{arxiv.1206.1214,
title = {Algebraic entropy for semi-discrete equations},
author = {D. K. Demskoi and C-M. Viallet},
journal= {arXiv preprint arXiv:1206.1214},
year = {2015}
}