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Prediction and identification of nonlinear dynamical systems using machine learning approaches
Journal of Industrial Information Integration, Volume: 35, Start page: 100503
Swansea University Author: Lijie Li
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DOI (Published version): 10.1016/j.jii.2023.100503
Abstract
Nonlinear dynamical systems are widely implemented in many areas. The Prediction and identification of these dynamical systems purely based on observational data is of great significance for practical applications. In the work, we develop a machine learning based approach called Runge–Kutta guided n...
Published in: | Journal of Industrial Information Integration |
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ISSN: | 2452-414X |
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Elsevier BV
2023
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URI: | https://cronfa.swan.ac.uk/Record/cronfa63938 |
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v2 63938 2023-07-25 Prediction and identification of nonlinear dynamical systems using machine learning approaches ed2c658b77679a28e4c1dcf95af06bd6 0000-0003-4630-7692 Lijie Li Lijie Li true false 2023-07-25 EEEG Nonlinear dynamical systems are widely implemented in many areas. The Prediction and identification of these dynamical systems purely based on observational data is of great significance for practical applications. In the work, we develop a machine learning based approach called Runge–Kutta guided next-generation reservoir computing (RKNG-RC). The proposed scheme can process data information generated by the most complicated nonlinear dynamical systems such as chaotic Lorenz63 system even with noise, and experimental systems such as chaotic Chua’s electronic circuit, showing an outstanding ability for prediction tasks. More importantly, the RKNG-RC is found to have distinctive interpretability that from the trained weights the ordinary differential equation governing the observable data can be deduced, which is beyond the processing capacities of traditional approaches. The work provides an efficient platform for processing information generated by various dynamical systems. Journal Article Journal of Industrial Information Integration 35 100503 Elsevier BV 2452-414X Prediction, Chaotic dynamical systems, Identification, Reservoir computing, Runge–Kutta 1 10 2023 2023-10-01 10.1016/j.jii.2023.100503 http://dx.doi.org/10.1016/j.jii.2023.100503 COLLEGE NANME Electronic and Electrical Engineering COLLEGE CODE EEEG Swansea University SU Library paid the OA fee (TA Institutional Deal) Swansea University. STFC (ST/T006455/1). 2023-09-05T11:16:30.4636926 2023-07-25T08:19:03.5333076 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Electronic and Electrical Engineering Leisheng Jin 1 Zhuo Liu 2 Lijie Li 0000-0003-4630-7692 3 63938__28332__62798d285d984197a93be70a2891dc6b.pdf 63938.VOR.pdf 2023-08-21T12:06:05.3553608 Output 2637745 application/pdf Version of Record true Distributed under the terms of a Creative Commons Attribution CC-BY Licence. true eng http://creativecommons.org/licenses/by/4.0/ |
title |
Prediction and identification of nonlinear dynamical systems using machine learning approaches |
spellingShingle |
Prediction and identification of nonlinear dynamical systems using machine learning approaches Lijie Li |
title_short |
Prediction and identification of nonlinear dynamical systems using machine learning approaches |
title_full |
Prediction and identification of nonlinear dynamical systems using machine learning approaches |
title_fullStr |
Prediction and identification of nonlinear dynamical systems using machine learning approaches |
title_full_unstemmed |
Prediction and identification of nonlinear dynamical systems using machine learning approaches |
title_sort |
Prediction and identification of nonlinear dynamical systems using machine learning approaches |
author_id_str_mv |
ed2c658b77679a28e4c1dcf95af06bd6 |
author_id_fullname_str_mv |
ed2c658b77679a28e4c1dcf95af06bd6_***_Lijie Li |
author |
Lijie Li |
author2 |
Leisheng Jin Zhuo Liu Lijie Li |
format |
Journal article |
container_title |
Journal of Industrial Information Integration |
container_volume |
35 |
container_start_page |
100503 |
publishDate |
2023 |
institution |
Swansea University |
issn |
2452-414X |
doi_str_mv |
10.1016/j.jii.2023.100503 |
publisher |
Elsevier BV |
college_str |
Faculty of Science and Engineering |
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|
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Electronic and Electrical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Electronic and Electrical Engineering |
url |
http://dx.doi.org/10.1016/j.jii.2023.100503 |
document_store_str |
1 |
active_str |
0 |
description |
Nonlinear dynamical systems are widely implemented in many areas. The Prediction and identification of these dynamical systems purely based on observational data is of great significance for practical applications. In the work, we develop a machine learning based approach called Runge–Kutta guided next-generation reservoir computing (RKNG-RC). The proposed scheme can process data information generated by the most complicated nonlinear dynamical systems such as chaotic Lorenz63 system even with noise, and experimental systems such as chaotic Chua’s electronic circuit, showing an outstanding ability for prediction tasks. More importantly, the RKNG-RC is found to have distinctive interpretability that from the trained weights the ordinary differential equation governing the observable data can be deduced, which is beyond the processing capacities of traditional approaches. The work provides an efficient platform for processing information generated by various dynamical systems. |
published_date |
2023-10-01T11:16:32Z |
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1776192315530936320 |
score |
11.016258 |