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arXiv 1408.6161nlin.SI
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时滞微分方程的代数熵

Algebraic entropy for differential-delay equations

Claude M. Viallet

摘要:

将代数熵的定义推广到一类微分时滞方程。熵的消失,作为一个方程的结构性质,标志着它的可积性。我们提出了一个简单的方法来产生微分延迟方程消失熵从已知的可积微分差分方程。

英文摘要:

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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