Chaos suppression through changes in the system variables and numerical rounding errors

The aim of this paper is to try to shed some light in the mechanisms behind the recently observed phenomenon of chaos suppression through approximations inherent in some numerical methods used to solve non-linear systems of ordinary differential equations. Chaos suppression through numerical truncation and rounding errors is reported and related to the recently introduced chaos suppression methods through perturbations in the system variables, both of proportional and additive type. Inherent in these numerical methods is a discretization process, and for this reason two different two-dimensional iterated maps have been chosen as examples: the Hénon and Burgers maps. PACS numbers: 05.45 + b, 02.60 − x.