ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Neimark Y. I., Kotelnikov I. V., Teklina L. G. New approach to numerical research of the concrete dynamic systems by methods of pattern recognition and statistical modelling. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 2, pp. 3-15. DOI: 10.18500/0869-6632-2010-18-2-3-15

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
519.6:004.93

New approach to numerical research of the concrete dynamic systems by methods of pattern recognition and statistical modelling

Autors: 
Neimark Yurij Isaakovich, Lobachevsky State University of Nizhny Novgorod
Kotelnikov Igor Vyacheslavovich, Lobachevsky State University of Nizhny Novgorod
Teklina Larisa Grigorevna, Institute of Applied Mathematics and Cybernetics. Nizhny Novgorod state University
Abstract: 

In the present work the new approach to numerical research of the concrete multidimensional and multiparametric dynamic systems is submitted. The offered approach, in part realized and approved, is based on computer calculation of phase trajectories and on use of pattern recognition methods.

Reference: 
  1. Kotel’nikov IV. Syndromic recognition procedures for the study of the phase space of concrete multidimensional dynamic systems. Mathematical methods of pattern recognition. Reports of the MMRO-13 conference. Moscow: MAKS Press. 2007:146–149 (in Russian).
  2. Neimark YuI, Teklina LG. Analysis of phase trajectories of multidimensional dynamic systems by recognition methods based on one-dimensional time series. Mathematical methods of pattern recognition. Reports of the MMRO-13 conference. Moscow: MAKS Press. 2007:191–193 (in Russian).
  3. Neymark YuI, Teklina LG. New technologies for using the least squares method. Study guide. N. Novgorod: Nizhny Novgorod State University Publ.; 2003. 196 p. (in Russian).
  4. Kotel’nikov IV. A syndrome recognition method based on optimal irreducible fuzzy tests. Pattern Recognition and Image Analysis. 2001;11(3):553–559.
  5. Kotel’nikov IV. Cluster analysis of multidimensional objects based on optimal irreducible fuzzy tests and syndromes. Pattern Recognition and Image Analysis. 2004;14(3):361–369.
  6. Neymark YuI. Mathematical models in natural science and technology. N. Novgorod: Nizhny Novgorod State University Publ.; 2004. 401 p. (in Russian).
Received: 
02.11.2009
Accepted: 
25.01.2010
Published: 
30.04.2010
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