1206.1214 (D. K. Demskoi et al.)

Algebraic entropy for semi-discrete equations    [PDF]

D. K. Demskoi, C-M. Viallet

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.

View original: http://arxiv.org/abs/1206.1214