Algebraic entropy for semi-discrete equations

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.

References in corpus (3)

• Recursion operators, conservation laws and integrability conditions for difference equations
• Cosymmetries and Nijenhuis recursion operators for difference equations
• A new recursion operator for the Viallet equation

Cited by in corpus (2)

• Algebraic entropy of a class of five-point differential-difference equations
• Algebraic entropy for systems of quad equations