On reconstructing an unknown coordinate of a nonlinear system of differential equations
The paper discusses a method of auxiliary controlled models and the application of this method to solving problems of dynamical reconstruction of an unknown coordinate in a nonlinear system of differential equations. The solving algorithm, which is stable with respect to informational noises and...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AGH Univeristy of Science and Technology Press
2014-01-01
|
| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3416.pdf |
| _version_ | 1818049950358962176 |
|---|---|
| author | Marina Blizorukova Alexander Kuklin Vyacheslav Maksimov |
| author_facet | Marina Blizorukova Alexander Kuklin Vyacheslav Maksimov |
| author_sort | Marina Blizorukova |
| collection | DOAJ |
| description | The paper discusses a method of auxiliary controlled models and the application of this method to solving problems of dynamical reconstruction of an unknown coordinate in a nonlinear system of differential equations. The solving algorithm, which is stable with respect to informational noises and computational errors, is presented. |
| first_indexed | 2024-12-10T10:45:43Z |
| format | Article |
| id | doaj.art-c3f66f2460b9469aae498c210415117e |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-10T10:45:43Z |
| publishDate | 2014-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-c3f66f2460b9469aae498c210415117e2022-12-22T01:52:11ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742014-01-01342257269http://dx.doi.org/10.7494/OpMath.2014.34.2.2573416On reconstructing an unknown coordinate of a nonlinear system of differential equationsMarina Blizorukova0Alexander Kuklin1Vyacheslav Maksimov2Ural Federal University, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, S. Kovalevskaya Str. 16, Ekaterinburg, 620990 RussiaInstitute of Economics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, RussiaUral Federal University, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, S. Kovalevskaya Str. 16, Ekaterinburg, 620990 RussiaThe paper discusses a method of auxiliary controlled models and the application of this method to solving problems of dynamical reconstruction of an unknown coordinate in a nonlinear system of differential equations. The solving algorithm, which is stable with respect to informational noises and computational errors, is presented.http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3416.pdfordinary differential equationsinverse problems |
| spellingShingle | Marina Blizorukova Alexander Kuklin Vyacheslav Maksimov On reconstructing an unknown coordinate of a nonlinear system of differential equations Opuscula Mathematica ordinary differential equations inverse problems |
| title | On reconstructing an unknown coordinate of a nonlinear system of differential equations |
| title_full | On reconstructing an unknown coordinate of a nonlinear system of differential equations |
| title_fullStr | On reconstructing an unknown coordinate of a nonlinear system of differential equations |
| title_full_unstemmed | On reconstructing an unknown coordinate of a nonlinear system of differential equations |
| title_short | On reconstructing an unknown coordinate of a nonlinear system of differential equations |
| title_sort | on reconstructing an unknown coordinate of a nonlinear system of differential equations |
| topic | ordinary differential equations inverse problems |
| url | http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3416.pdf |
| work_keys_str_mv | AT marinablizorukova onreconstructinganunknowncoordinateofanonlinearsystemofdifferentialequations AT alexanderkuklin onreconstructinganunknowncoordinateofanonlinearsystemofdifferentialequations AT vyacheslavmaksimov onreconstructinganunknowncoordinateofanonlinearsystemofdifferentialequations |