ABSTRACT

Within studies of non-linear dynamics and chaos, so called transient chaos has been detected, where irregular and non-periodical behavior initially has the "appearance" of chaos but after some time the solution ends up stabilizing or tends to behaviors where we can predict the future. Several examples of transient chaos have been found. In this article we show a new case. Apart from chaos generated by non-linear differential equations where time is continuos there is another type of chaos: that produced in recursive formulae -- some of which are very simple -- where time is considered discrete. These are so called difference equations or maps. This article will show transient chaos in one type of these maps, namely one-dimensional maps with three fixed points.