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Numerical methods for control-based continuation of relaxation oscillations

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Main Authors: Mark, Blyth, Krasimira, Tsaneva-Atanasova, Lucia, Marucci
Format: Book
Language:English
Published: 2023
Subjects:
Control-based continuation
relaxation oscillations
Online Access:https://link.springer.com/article/10.1007/s11071-023-08288-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7972
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spelling oai:localhost:PNK-79722023-04-17T02:21:30Z Numerical methods for control-based continuation of relaxation oscillations Mark, Blyth Krasimira, Tsaneva-Atanasova Lucia, Marucci Control-based continuation relaxation oscillations CC BY Control-based continuation (CBC) is an experimental method that can reveal stable and unstable dynamics of physical systems. It extends the path-following principles of numerical continuation to experiments and provides systematic dynamical analyses without the need for mathematical modelling. CBC has seen considerable success in studying the bifurcation structure of mechanical systems. Nevertheless, the method is not practical for studying relaxation oscillations. Large numbers of Fourier modes are required to describe them, and the length of the experiment significantly increases when many Fourier modes are used, as the system must be run to convergence many times. Furthermore, relaxation oscillations often arise in autonomous systems, for which an appropriate phase constraint is required. 2023-04-17T02:21:30Z 2023-04-17T02:21:30Z 2023 Book https://link.springer.com/article/10.1007/s11071-023-08288-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7972 en application/pdf
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Control-based continuation
relaxation oscillations
spellingShingle Control-based continuation
relaxation oscillations
Mark, Blyth
Krasimira, Tsaneva-Atanasova
Lucia, Marucci
Numerical methods for control-based continuation of relaxation oscillations
description CC BY
format Book
author Mark, Blyth
Krasimira, Tsaneva-Atanasova
Lucia, Marucci
author_facet Mark, Blyth
Krasimira, Tsaneva-Atanasova
Lucia, Marucci
author_sort Mark, Blyth
title Numerical methods for control-based continuation of relaxation oscillations
title_short Numerical methods for control-based continuation of relaxation oscillations
title_full Numerical methods for control-based continuation of relaxation oscillations
title_fullStr Numerical methods for control-based continuation of relaxation oscillations
title_full_unstemmed Numerical methods for control-based continuation of relaxation oscillations
title_sort numerical methods for control-based continuation of relaxation oscillations
publishDate 2023
url https://link.springer.com/article/10.1007/s11071-023-08288-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7972
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score 8.887836

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