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On the algebraic structure of rational discrete dynamical systems

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 نشر من قبل C. Viallet
 تاريخ النشر 2015
  مجال البحث فيزياء
والبحث باللغة English
 تأليف Claude M. Viallet




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We show how singularities shape the evolution of rational discrete dynamical systems. The stabilisation of the form of the iterates suggests a description providing among other things generalised Hirota form, exact evaluation of the algebraic entropy as well as remarkable polynomial factorisation properties. We illustrate the phenomenon explicitly with examples covering a wide range of models.

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