TY - JOUR

T1 - Modeling and identification of the Tunisian social system in 2011-2014

T2 - bifurcation, revolution, and controlled stabilization

AU - Leonov, G. A.

AU - Kudryashova, E. V.

AU - Kuznetsov, N. V.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - During the last three decades a mathematical theory of dynamical systems, chaos, and bifurcations has been actively developing and it is used in a range of fundamental problems and applications. The attempts of applying this theory to the study of economic, social, and historical processes were made by the well-known specialists in dynamics of natural sciences and specialists in various social sciences. Such concepts as controlled chaos, dynamical history, and synergetics emerged and were widely spread. The main dificulty of the mathematical modeling of social historical processes is to construct a suitable mathematical model. Therefore, in recent years a new trend arose: to drop the idea of constructing complete mathematical models and use, instead, basic concepts and common approaches of mathematical theory of dynamical systems to the socio-economic, historical or political process. In this paper an approach to modeling and identification of the Tunisian social system in 2011-2014 is considered and the revolution, bifurcation, and controlled stabilization are discussed.

AB - During the last three decades a mathematical theory of dynamical systems, chaos, and bifurcations has been actively developing and it is used in a range of fundamental problems and applications. The attempts of applying this theory to the study of economic, social, and historical processes were made by the well-known specialists in dynamics of natural sciences and specialists in various social sciences. Such concepts as controlled chaos, dynamical history, and synergetics emerged and were widely spread. The main dificulty of the mathematical modeling of social historical processes is to construct a suitable mathematical model. Therefore, in recent years a new trend arose: to drop the idea of constructing complete mathematical models and use, instead, basic concepts and common approaches of mathematical theory of dynamical systems to the socio-economic, historical or political process. In this paper an approach to modeling and identification of the Tunisian social system in 2011-2014 is considered and the revolution, bifurcation, and controlled stabilization are discussed.

KW - Arab spring

KW - bifurcations

KW - chaos

KW - dynamical systems

KW - identification

KW - mathematical models of socio-economic systems

KW - modeling

KW - revolution in Tunisia

UR - http://www.scopus.com/inward/record.url?scp=84992525149&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2015.09.275

DO - 10.1016/j.ifacol.2015.09.275

M3 - Article

AN - SCOPUS:84992525149

VL - 48

SP - 725

EP - 729

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 11

ER -