Algebraic entropy for differential-delay equations

Preprint English OPEN
Viallet, Claude M. (2014)
  • Subject: Nonlinear Sciences - Exactly Solvable and Integrable Systems

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.
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