Algebraic entropy for semi-discrete equations

Dmitry Demskoy; C-M. Viallet

doi:10.1088/1751-8113/45/35/352001

Algebraic entropy for semi-discrete equations

Dmitry Demskoy, C-M. Viallet

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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 equation.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	45
Issue number	35
DOIs	https://doi.org/10.1088/1751-8113/45/35/352001
Publication status	Published - 2012

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title = "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 equation.",

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AU - Viallet, C-M.

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DO - 10.1088/1751-8113/45/35/352001

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EP - 11

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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Algebraic entropy for semi-discrete equations

Abstract

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