Butterfly Effect A name given to the extreme sensitivity of chaotic systems, in which small changes or perturbations lead to drastically different outcomes. A common example of this phenomenon is a butterfly flapping its wings in

on initial conditions (the butterfly effect ) results in the inclusion of many maps that otherwise display no chaotic behavior. The definition adopted here requires a chaotic map to meet three conditions: mixing (the effect of repeated

in the famous "butterfly" effect where a small perturbation in, say, Nairobi effects the weather some weeks later in, say, Kyoto. Even in the simplest cases, chaotic systems appear entirely random even though they are governed