Inversible Max-Plus Algebras and Integrable systems

Abstract

We present an extended version of max-plus algebra which includes the inverse operator of "max". This algebra enables us to ultra-discretize the system including subtractions and obtain new ultra-discrete equations. The known ultra-discrete equations can also be recovered by this construction.

21 pages

References in corpus (2)

• The A^{(1)}_M automata related to crystals of symmetric tensors
• Simple Algorithm for Factorized Dynamics of g_n-Automaton

Cited by in corpus (5)

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• On the accumulation points of non-periodic orbits of a difference equation of fourth order