Algebraic entropy for semi-discrete equations

作者:Demskoi D K*; Viallet C M
来源:Journal of Physics A-Mathematical and Theoretical, 2012, 45(35): 352001.
DOI:10.1088/1751-8113/45/35/352001

摘要

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 equation.

  • 出版日期2012-9-7