How to detect the integrability of discrete systems
نویسنده
چکیده
Several integrability tests for discrete equations will be reviewed. All tests considered can be applied directly to a given discrete equation and do not rely on the a priori knowledge of the existence of related structures such as Lax pairs. Specifically, singularity confinement, algebraic entropy, Nevanlinna theory, Diophantine integrability and discrete systems over finite fields will be described. PACS numbers: 02.30.Ik (integrable systems) and 02.30.Ks (delay and functional equations).
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