Numerical methods for control-based continuation of relaxation oscillations
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11071-023-08288-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7972 |
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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 |
| _version_ |
1763452658184617984 |
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8.891787 |