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 b ehind the recently observed phenomenon of chaos suppression through ap proximations inherent in some numerical methods used to solve non-line ar systems of ordinary differential equations. Chaos suppression throu gh numerical truncation and rounding errors is reported and related to the recently introduced chaos suppression methods through perturbatio ns-in the system variables, both of proportional and additive type. In herent in these numerical methods is a discretization process, and for this reason two different two-dimensional iterated maps have been cho sen as examples: the Henon and Burgers maps. Copyright (C) 1996 Elsevi er Science Ltd