
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. 1215. References 1. Brodsky Yu.I. Bourbaki’s Structure Theory in the Problem of Complex Systems Simulation Models Synthesis and ModelOriented Programming // Computational Mathematics and Mathematical Physics Vol. 55 No. 1, 2015. P. 148159. 2. Brodsky Yu.I. Model’nyj sintez i model’noorientirovannoe programmirovanie [Model synthesis and modeloriented 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 3rd ed., Moscow: Soviet encyclopedia, 19691978. 5. Gretsky M.N. Structuralism (philos.). // Article in the Big Soviet Encyclopedia, the 3rd ed., Moscow: Soviet encyclopedia, 19691978. 6. MacLane S. Categories for the working mathematician. Springer, 1971. 263 p. 7. Thomson J.F. Tasks and SuperTasks. // Analysis. 1954. Vol. 15 (1): 113.
