The space of initial conditions for linearisable mappings

Details The space of initial conditions for linearisable mappings The space of initial conditions for linearisable mappings

2002-04-30

arxiv.org/abs/nlin/0204070v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages, 8 figures

Scientific paper

We apply the algebraic-geometric techniques developed for the study of mappings which have the singularity confinement property to mappings which are integrable through linearisation. The main difference with respect to the previous studies is that the linearisable mappings have generically unconfined singularities. Despite this fact we are able to provide a complete description of the dynamics of these mappings and derive rigorously their growth properties.

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