Abstract
After enthusiastic beginnings during World War II, general systems theory and cybernetics made lasting contributions to the understanding of complex systems, but failed to justify the great hopes of the pioneers. Since the advent of the Chaos Revolution in the 1970s, the dynamic modeling aspect of the theory (system dynamics) has gained greatly in technical power and usefulness to the working scientist, especially in the biological and social sciences. Complex dynamical systems (CDS) theory denotes this merger of system dynamics with the qualitative theory of dynamical systems (including chaos and bifurcation theories). In this chapter we trace the development of CDS, review its basic concepts and modeling strategies, exhibit some familiar complex systems as exemplary CDS networks, and describe a few subtleties of CDS modeling and simulation.
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