Algebraic entropy for semi-discrete equations
classification
🌊 nlin.SI
math-phmath.DSmath.MP
keywords
entropyequationsalgebraicintegrablesemi-discretecalculatingcharacteristicdefinition
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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.
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