NEW APPROACH TO NUMERICAL RESEARCH OF THE CONCRETE DYNAMIC SYSTEMS BY METHODS OF PATTERN RECOGNITION AND STATISTICAL MODELLING

Cite this article as:

Neimark Y. I., Kotelnikov R. А., Teklina . 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: https://doi.org/10.18500/0869-6632-2010-18-2-3-15

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.

Authors: 
Neimark Yu. I., Lobachevsky State University of Nizhni Novgorod, Prosp. Gagarina, 23, Nizhni Novgorod, 603950, Russia , neymark@pmk.unn.ru
Kotelnikov R. А., Lobachevsky State University of Nizhni Novgorod, Prosp. Gagarina, 23, Nizhni Novgorod, 603950, Russia , kotelnikov@gmail.com
Teklina L. G., Nizhny Novgorod state University, 603950 Nizhny Novgorod, Gagarin Ave., 23 , neymark@pmk.unn.ru
Key words: 
Dynamic systems, numerical methods, pattern recognition.
DOI: 
10.18500/0869-6632-2010-18-2-3-15
Literature

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2. Неймарк Ю.И., Теклина Л.Г. Анализ фазовых траекторий многомерных динамических систем методами распознавания на основе одномерных временных рядов // Математические методы распознавания образов. Доклады конференции ММРО-13. М.: МАКС Пресс, 2007. С. 191.

3. Неймарк Ю.И., Теклина Л.Г. Новые технологии применения метода наименьших квадратов. Учебное пособие. Нижний Новгород: Изд-во Нижегородского госуниверситета, 2003.

4. Kotel’nikov I.V. A syndrome recognition method based on optimal irreducible fuzzy tests // Pattern Recognition and Image Analysis. 2001. Vol. 11, No 3. P. 553.

5. Kotel’nikov I.V. Cluster analysis of multidimensional objects based on optimal irreducible fuzzy tests and syndromes // Pattern Recognition and Image Analysis. 2004. Vol. 14, No 3. P. 361.

6. Неймарк Ю.И. Математические модели в естествознании и технике. Нижний Новгород: Изд-во Нижегородского госуниверситета, 2004.

Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Status: 
одобрено к публикации
Short Text (PDF): 
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Full Text (PDF): 
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BibTeX

@article{Неймарк-IzvVUZ_AND-18-2-3,
author = {Yu. I. Neimark and R. А. Kotelnikov and L. G. Teklina},
title = {NEW APPROACH TO NUMERICAL RESEARCH OF THE CONCRETE DYNAMIC SYSTEMS BY METHODS OF PATTERN RECOGNITION AND STATISTICAL MODELLING},
year = {2010},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {18},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/new-approach-to-numerical-research-of-the-concrete-dynamic-systems-by-methods-of-pattern},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2010-18-2-3-15},pages = {3--15},issn = {0869-6632},
keywords = {Dynamic systems,numerical methods,pattern recognition.},
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. }}