I pulled out one of my books, Applied Chaos Theory: A Paradigm for Complexity. The author, Cambel gives a list of the characteristics of complex systems. On page 14, he clearly says, "..., please note that all complex systems are not chaotic." Further this amplified that "while not all non-linear systems are chaotic, all chaotic systems are non-linear." And, again quoting, "Systems that upon analysis are found to be nonlinear, nonequilibrium, deterministic, dynamic, and incorporate randomness so they are sensitive to initial conditions, and have strange attractors are said to be chaotic." [Emphasis added]
I reviewed most of the text quickly, and this theme is preserved, so I'd stand by my proposition that randomness AND complexity are essential components of chaos. Goodnight. |
