On possibilities of using pattern recognition methods to study mathematical models

被引：3

作者：

Neimark, Yu I. ^{[1
]}

Teklina, L.G. ^{[1
]}

机构：

[1] Research Institute for Applied Mathematics and Cybernetics of Nizhni Novgorod State University, Nizhni Novgorod 603005

来源：

Pattern Recognition and Image Analysis | 2012年 / 22卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

dynamic system; mathematical simulation; pattern recognition;

D O I：

10.1134/S1054661812010282

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The possibilities of using pattern recognition methods to study mathematical models with a large number of parameters are discussed. The principal point is to study models by constructing phase and parametric portraits. This allows one to solve problems of predicting the states of the object described by the mathematical model in hand and controlling the object and analyzing and studying problems that follow from the particular content of the model. Examples of three mathematical models are given to illustrate this problem. © 2012 Pleiades Publishing, Ltd.

引用

页码：144 / 149

页数：5

共 8 条

[1]

Neimark Y.I., Kotel'nikov I.V., Teklina L.G., Numerical Research of the Dynamic Systems as the Pattern Recognition Problem, Proc. 8th Int. Conf. Pattern Recognition and Image Analysis: New Information Technologies, pp. 96-99, (2008)

[2]

Neimark Y.I., Kotel'nikov I.V., Teklina L.G., New Technology for Numerical Researching the Dynamic Systems by Means of Pattern Recognition Methods, Proc. 14th All-Russian Conf. MMPR-14: Mathematical Methods of Pattern Recognition, pp. 418-421, (2009)

[3]

Neimark Y.I., Kotel'nikov I.V., Teklina L.G., New Approach to Numerical Research of Concrete Dynamic Systems by Means of Pattern Recognition and Statistical Simulation, Izv. Vyssh. Uchebn. Zaved. Prikl. Nelin. Dinam., 18, 2, pp. 3-15, (2010)

[4]

Neimark Y.I., Mathematical Models in Natural Science and Engineering, (2003)

[5]

Alekseev V.V., Kornilovsky A.N., Ecosystems Stochasticity Model, Ecol. Model., 28, pp. 217-229, (1985)

[6]

Neimark Y.I., Levin A.Y., Does God Play Dice?, Izv. Vyssh. Uchebn. Zaved. Prikl. Nelin. Dinam., 17, 3, pp. 98-136, (2009)

[7]

Neimark Y.I., Kotel'nikov I.V., Teklina L.G., Study of the Mathematical Model of an Organism's Immune Response to the Intrusion of an Infection Using Methods of Pattern Recognition, Pattern Recogn. Image Anal., 19, 1, pp. 181-185, (2009)

[8]

Neimark Y.I., Teklina L.G., New Technologies for Finite Element Method Application, (2003)

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