Control and optimization
Decision theory
Yu.I. Brodsky On mathematical modeling of the behavior of complex systems
Mathematical modeling of ecological-economic systems
Design Automation
Yu.I. Brodsky On mathematical modeling of the behavior of complex systems

Abstract.

This paper dwells upon general problems of mathematical modeling from the structural method standpoint. What is a mathematical model and whether it always should be a system of differential equations. How to simulate the behavior of complex systems. What the computer science can contribute for this.

Keywords:

complex systems, structuralism, the method of analogies, mathematical modeling, computer science.

PP. 12-15.

References

1. Brodsky Yu.I. Bourbaki’s Structure Theory in the Problem of Complex Systems Simulation Models Synthesis and Model-Oriented Programming // Computational Mathematics and Mathematical Physics Vol. 55 No. 1, 2015. P. 148-159.
2. Brodsky Yu.I. Model’nyj sintez i model’no-orientirovannoe programmirovanie [Model synthesis and model-oriented programming] Moscow: CC RAS, 2013. 142 p.
3. Bourbaki N. “Elements of Mathematics, Theory of Set”. Springer, 2004. 414 p.
4. Gastev Yu.A. Model (in science). // Article in the Big Soviet Encyclopedia, the 3-rd ed., Moscow: Soviet encyclopedia, 1969-1978.
5. Gretsky M.N. Structuralism (philos.). // Article in the Big Soviet Encyclopedia, the 3-rd ed., Moscow: Soviet encyclopedia, 1969-1978.
6. MacLane S. Categories for the working mathematician. Springer, 1971. 263 p.
7. Thomson J.F. Tasks and Super-Tasks. // Analysis. 1954. Vol. 15 (1): 1-13.
 

2023-73-4
2023-73-3
2023-73-2
2023-73-1

© ФИЦ ИУ РАН 2008-2018. Создание сайта "РосИнтернет технологии".