Again, Linearizable Mappings
arXiv:solv-int/9804012 · doi:10.1016/S0378-4371(97)00614-6
Abstract
We examine a family of 3-point mappings that include mappings solvable through linearization. The different origins of mappings of this type are examined: projective equations and Gambier systems. The integrable cases are obtained through the application of the singularity confinement criterion and are explicitly integrated.
14 pages, no figures, to be published in Physica A
References in corpus (2)
Cited by in corpus (6)
- The Gambier Mapping, Revisited
- Linearisable Mappings and the Low-Growth Criterion
- Integrable systems without the Painlevé property
- Singularity confinement and algebraic integrability
- Do All Integrable Evolution Equations Have the Painlevé Property?
- Singularities and growth of higher order discrete equations