Abstract

This chapter deals with dynamical properties of complex systems. It begins with a specification of basic topological structures of these systems and a definition of the degree of coherence and additivity. Aging, disintegration, and growth of these systems are characterized. Significance of the hierarchical structure is pointed out for systems in which the “downhill” flow of orders or recommendations from upper to lower levels and the “uphill” flow of reports from lower to higher levels are the usual mechanism of governing control. Properties of large systems are specified, and an entropic theory of their organization in time is outlined. Finally, we briefly summarize two essential systemic theories aimed to attain a possibly unitary description of order/disorder phenomena. The first theory defines the significance of information transfer and disequilibrium thermodynamics in an evolutionary hypothesis, and the second unifies order and disorder phenomena in nonliving and living matters.

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