Again, Linearizable Mappings

Details Again, Linearizable Mappings Again, Linearizable Mappings

1998-04-10

arxiv.org/abs/solv-int/9804012v1

Physica A 252, 138-150 (1998)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages, no figures, to be published in Physica A

Scientific paper

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.

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