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A model and simulation for homeorhesis in the motion of a single individual

Journal article
Authors Monika Piotrowska
Eugen Mamontov
Abby Peterson
Andrey Koptyug
Published in Mathematical and Computer Modelling
Volume 48
Issue 7-8
Pages 1122-1143
ISSN 0895-7177
Publication year 2008
Published at Department of Sociology
Department of Physics (GU)
Pages 1122-1143
Language en
Keywords social behaviour, motion of individual, homeorhesis, differential equation, trajectory, panic-stricken crowd
Subject categories Applied mathematics, Mathematical physics, Non-linear dynamics, chaos, Sociology


In contrast to nonliving systems, all living systems perform homeorhesis. The system state tends to the so-called necessary path, or creode, when the exogenous signals are in a certain system-relevant range. The present work develops the homeorhesis-aware dynamical model for the motion of a single individual (e.g., human). The model allows for the purposeful behaviour of the individual, the creode, the exogenous forces, and the individual-specific sensitivity to their influences. The model also describes the homeorhetic-dysfunction movements. The transparency of the model is such that it allows a physical analogue in the form of electronic circuits. The model is a first step towards the construction of sociologically relevant models for the prediction of human behaviour. It is indispensable for analyses of dangerous scenarios where experiments are impossible, for example when predicting the behaviour of panic-stricken crowds in life-threatening situations. The work illustrates the corresponding numerical-simulation results with a series of figures and suggests topics for future research.

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