Detecting discrete integrability: the singularity approach
classification
🧮 math-ph
math.MPnlin.SI
keywords
singularityintegrabilitymappingsanalysisapproacharisecalculateconfinement
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We describe the various types of singularities that can arise for second order rational mappings and we discuss the historical and present-day, practical, role the singularity confinement property plays as an integrability detector. In particular, we show how singularity analysis can be used to calculate explicitly the dynamical degree for such mappings.
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