  Furthermore, Kellert’s definition may also be too broad to pick out only chaotic behaviors. For instance, take the iterative map \(x_{n + 1} = cx_{n}\). This map obviously exhibits only orbits that are unstable and aperiodic. For instance, choosing the values \(c = 1.1\) and \(x_{0} = .5\), successive iterations will continue to increase and never return near the original value of \(x_{0}\). So Kellert’s definition would classify this map as chaotic, but the map does not have any other properties qualifying it as chaotic. This suggests Kellert’s definition of chaos would pick out a much broader set of behaviors than what is normally accepted as chaotic. 