EVENT MAPS IN A STICK-SLIP SYSTEM

This paper describes a one-dimensional map generated by a two degree-o f-freedom mechanical system that undergoes self-sustained oscillations induced by dry friction. The iterated map allows a much simpler repre sentation and a better understanding of some dynamic features of the s ystem. Some applications of the map are illustrated and its behaviour is simulated by means of an analytically defined one-dimensional map. A method of reconstructing one-dimensional maps from experimental data from the system is introduced. The method uses cubic splines to appro ximate the iterated mappings. From a sequence of such time series the parameter dependent bifurcation behaviour is analysed by interpolating between the defined mappings. Similarities and differences between th e bifurcation behaviour of the exact iterated mapping and the reconstr ucted mapping are discussed.