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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 172654, 8 pages
http://dx.doi.org/10.1155/2013/172654
Research Article

Nonstationary Fronts in the Singularly Perturbed Power-Society Model

1Institute of System Analysis of RAS, Higher School of Economics, Moscow 101000, Russia
2Russian State Social University, Moscow 129226, Russia
3Keldysh Institute of Applied Mathematics RAS, Moscow 125047, Russia

Received 23 July 2013; Accepted 15 September 2013

Academic Editor: Allaberen Ashyralyev

Copyright © 2013 M. G. Dmitriev et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The theory of contrasting structures in singularly perturbed boundary problems for nonlinear parabolic partial differential equations is applied to the research of formation of steady state distributions of power within the nonlinear “power-society” model. The interpretations of the solutions to the equation are presented in terms of applied model. The possibility theorem for the problem of getting the solution having some preassigned properties by means of parametric control is proved.