Abstract
The question of the integrability of discrete systems is examined with emphasis on the singularity confinement method that is the discrete analog of the “Painlevé” singularity analysis for differential systems. One, all-important, result of this new method is the systematic derivation of discrete Painlevé equations. The existence of a discrete version for the continuous Painlevé equations allows us to establish a close parallel between the continuous and the discrete case.
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