Algebraic entropy for differential-delay equations
Exactly Solvable and Integrable Systems
2014-08-27 v1
Abstract
We extend the definition of algebraic entropy to a class of differential-delay equations. The vanishing of the entropy, as a structural property of an equation, signals its integrability. We suggest a simple way to produce differential-delay equations with vanishing entropy from known integrable differential-difference equations.
Keywords
Cite
@article{arxiv.1408.6161,
title = {Algebraic entropy for differential-delay equations},
author = {Claude M. Viallet},
journal= {arXiv preprint arXiv:1408.6161},
year = {2014}
}