ЭБ Коллекция: NPCS Vol.17, no.3, pp. 210-339 (2014) https://elib.bsu.by:443/handle/123456789/119894 NPCS Vol.17, no.3, pp. 210-339 (2014) Mon, 20 Apr 2026 09:55:11 GMT 2026-04-20T09:55:11Z Some extremal properties of the solutions of ordinary differential equations systems https://elib.bsu.by:443/handle/123456789/120219 Заглавие документа: Some extremal properties of the solutions of ordinary differential equations systems Авторы: Petrichenko, M. R.; Serow, D. W. Аннотация: Based on variables doubling procedure the extremals flow immersion into the trajectories bunch has been considered. The conditions for existence of extremals have been obtained. The Lyapunov function for a doubled linearized system has been constructed. Wed, 01 Jan 2014 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/120219 2014-01-01T00:00:00Z Mathematical models of complex systems on the basis of artificial neural networks https://elib.bsu.by:443/handle/123456789/120215 Заглавие документа: Mathematical models of complex systems on the basis of artificial neural networks Авторы: Vasilyev, A. N.; Tarkhov, D. A. Аннотация: Neural networking technique with models based on ordinary/partial differential equations is applied to the known incorrect problems. Solutions to such problems by routine approaches are difficult. The problem approximate solution is found as the artificial neural network output with a prescribed architecture. Network weights are determined in the stepwise network training based on the error functional minimization process in general. The case of the system parameters given in some variation intervals and the parameter set as a part of input data is considered. The construction of robust parameter neural network models is examined using some problems in classical and non-classical statements. The direct problem solution and the inverse problem regularization for the offered neural network approach are constructed uniformly. The neurocomputing results for fixed and growing neural networks are given. The supercomputer use is discussed. The neural network approach advantages and some possible generalizations are mentioned. Wed, 01 Jan 2014 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/120215 2014-01-01T00:00:00Z Illustrations of irreducibility and tops of umbrellas in the PostScript methodology https://elib.bsu.by:443/handle/123456789/120210 Заглавие документа: Illustrations of irreducibility and tops of umbrellas in the PostScript methodology Авторы: Kovalew, I. A.; Serow, D. W. Аннотация: Sierpi´nski carpets and similar objects, irreducible and indecomposable continua are visually realized based on the PostScript language. Algorithmic problems associated with rendering effects and the presence of tops of umbrellas and irreducible points have been solved within the PostScript language methodology. Wed, 01 Jan 2014 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/120210 2014-01-01T00:00:00Z Three levels of difficulty in quantitative analyzing the results of real measuring regression experiments https://elib.bsu.by:443/handle/123456789/120206 Заглавие документа: Three levels of difficulty in quantitative analyzing the results of real measuring regression experiments Авторы: Chebrakov, Yu. V. Аннотация: The description of concepts and methods of the operational regression theory is reported in detail, three levels of difficulty in operational quantitative analyzing the results of real measuring regression experiments are determined and implementation of all three levels into some real magnetochemical experiments, devoted to the study of the magnetic behavior of weak magnetic solid solutions with 3d-ions versus temperature, is demonstrated. Wed, 01 Jan 2014 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/120206 2014-01-01T00:00:00Z