publication . Preprint . 2014

Algebraic entropy for differential-delay equations

Viallet, Claude M.;
Open Access English
  • Published: 26 Aug 2014
  • Publisher: HAL CCSD
  • Country: France
Abstract
We extend the definition of algebraic entropy to a class of differential-delay equations. The vanishing of the entropy, as a structural property of an equation, signals its integrability. We suggest a simple way to produce differential-delay equations with vanishing entropy from known integrable differential-difference equations.
Subjects
free text keywords: [NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], Nonlinear Sciences - Exactly Solvable and Integrable Systems
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