A MATHEMATICAL PATTERN OF THE RELATION MAN-ENVIRONMENT, REPRESENTED BY ANTICIPATORY SYSTEMS

Abstract

In a pair of mixed advanced-retarded differential equations we consider man as being the master system and the environment as the slave system. This is the case when man’s behaviour is dependent on a future state of the environment, while the environment’s rate of change is dependent on a past state (hence a past action) of man. Man, as the master system, should take forecasts into consideration. The mathematical model used in the paper pertains to the modelling of interaction of two systems, such as the observation operator, the pragmatic operator, and especially the differential system of equations, in case the reciprocal influence between two systems manifests itself, throughout their evolution, with a time difference.

Keywords

• A MATHEMATICAL, PATTERN, OF THE RELATION MAN-ENVIRONMENT, REPRESENTED ,BY ANTICIPATORY SYSTEMS

Kaynakça

1. Anticipations, Anticipatory Behavior in Adaptive Learning Systems, Springer, 2003, pp.110-132.
2. D. Dubois, Mathematical Foundations of Discrete and Functional Systems with Strong and Weak
3. E. Otlacan, About the Mathematical Expression of the Observation Operators, KIBERNETES, Millennium volume, 29, nr. 9/10, 2000, pp.1058–1068, U.K.
4. E. Otlacan, Informational Topology and the Necessity to Adapt the Training to the Globalization Conditions, Euroglob, Nr. 3/2003, Year III, Bucharest, pp. 81-84.
5. E. Otlacan, What the Functional Calculus Tells about the Possibilities to Express the Future Evolution of a System, Anticipative and Predictive Models in Systems Science, vol. I, pp. 27-32, IIAS, University of Windsor, Canada, 2005.
6. L. Cristea, The Education Management from the Point of View of Bologna Declaration, Alternative Economic Strategies, ERA, Bucharest, 2005, pp. 37-40.
7. P. Constatinescu, P. Otlacan, Teoria generală a sistemelor, (General Theory of Systems), Academia Militară, Bucharest, 1984.
8. R. Vallée, Cognition et Système. Essai d’Epistémo-Praxéologie, L’Interdisciplinaire, Lyon, 1975.

9. R. Vallée, De la Cybernétique aux Systèmes Complexes, un Hommage à Heinz von Förster, Université Paris VII, 2004.
10. R. Rosen, Anticipatory Systems, Pergamon Press, New York, 1985.