NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2005, Vol.8, No.3, pp.249-257


Non-Standard Extensions in Hierarchical Modelling of Sociodynamics.
I.A.Miklashevich and V.V.Barkaline

The mathematical structure of operators describing movements in hierarchical system state space is proposed. Taking into account the description of social systems in according to previous paper (I.A.Miklashevich // NPCS, v.6, N2, 2003, 678-686) the hyper-real character of these operators for social system modelling is established. The law of superposition of the operators is obtained. The origin of the second order uncertainty due to the movement through hierarchical state space is studied and interpreted in terms of social groups dynamics. Proposed non-standard extension of sociodynamics makes it possible to represent human free will as a mathematical object.
Key words: hierarchical space, chaos, non-standard analysis, halo, social system modelling, human free will, forecasting

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