Processing of Emergent Phenomena in Complex Systems

In this paper are described some properties of emergent phenomena and situations that appear in complex systems. The basic factors for the understanding to emergent processes are: the level of realization and the description of the emergent process, sharp change of the system structure (in our case represented by the violence of a structural invariant), a self-organizing phenomenon (that forms the emergent situation). In this paper we will deal only with the factor of the violence of structural invariants (not with self-organizing process) that we use for the detecting possibility of appearance of emergent situation in the complex system. In this paper is used only one type of structural invariant – Matroid and Matroid Bases (M, BM) investigating the influence of their violation to interacting elements (components) in so called basic group. A simple calculus for the emergent situation appearance computation is introduced. The application of the presented approach and computation method is demonstrated by simple emergent situations such as the change of the strategy in swarm colony, traffic jam and floods.