The notion is that "complex systems" (sometimes just "complex adaptive systems," both Names Which Must Be Destroyed) tend, in some ill-defined sense, to be poised on the border between order (no change or periodic change) and chaos (aperiodic change), because this is somehow the most flexible and evolvable position; that things "evolve to evolve" to the edge of chaos. --- The notion is that things at the edge-of-chaos are somehow optimized for adaptation and information-processing, and so natural selection would favor things near there, if indeed there isn't some inherent drive towards this edge. (One runs across both versions.)