Amplitude Death in Extended Time-Delay Coupled Oscillator Networks
The present paper applies the concept of extended delayed feedback control, a commonly used method for controlling chaos, to a quenching phenomenon (i.e., amplitude death) in time-delay coupled oscillator networks. We show that a simple characteristic function governs the stability of amplitude deat...
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| Format: | Article |
| Language: | English |
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IEEE
2025-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10843202/ |
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| author | Shinsuke Mizukami Keiji Konishi Koki Yoshida Yoshiki Sugitani Naoyuki Hara |
| author_facet | Shinsuke Mizukami Keiji Konishi Koki Yoshida Yoshiki Sugitani Naoyuki Hara |
| author_sort | Shinsuke Mizukami |
| collection | DOAJ |
| description | The present paper applies the concept of extended delayed feedback control, a commonly used method for controlling chaos, to a quenching phenomenon (i.e., amplitude death) in time-delay coupled oscillator networks. We show that a simple characteristic function governs the stability of amplitude death. The simple function enables us to explicitly obtain the stability ranges of the delay time. These ranges depend on the number of oscillators and the network topology. Thus, for situations where the number of oscillators and/or network topology are unknown, one cannot determine the delay time that induces amplitude death. We propose a simple procedure for designing a delay time for which amplitude death is locally stable for any number of oscillators and any network topology. The theoretical results are confirmed by numerical examples. In addition, it is found that the stability ranges of the delay time are much wider than those for conventional delay-coupled oscillator networks. |
| format | Article |
| id | doaj-art-7b7221a4858f44949bd789148729e36d |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-7b7221a4858f44949bd789148729e36d2025-01-25T00:01:18ZengIEEEIEEE Access2169-35362025-01-0113126661267510.1109/ACCESS.2025.352988510843202Amplitude Death in Extended Time-Delay Coupled Oscillator NetworksShinsuke Mizukami0Keiji Konishi1https://orcid.org/0000-0001-5583-502XKoki Yoshida2https://orcid.org/0000-0002-3527-7718Yoshiki Sugitani3https://orcid.org/0000-0001-7476-0449Naoyuki Hara4https://orcid.org/0000-0002-0075-5126Department of Electrical and Information Systems, Osaka Prefecture University, Osaka, JapanDepartment of Electrical and Electronic Systems Engineering, Osaka Metropolitan University, Osaka, JapanNational Institute of Technology, Toyama College, Toyama, JapanDepartment of Electrical and Electronic Systems Engineering, Osaka Metropolitan University, Osaka, JapanDepartment of Electrical and Electronic Systems Engineering, Osaka Metropolitan University, Osaka, JapanThe present paper applies the concept of extended delayed feedback control, a commonly used method for controlling chaos, to a quenching phenomenon (i.e., amplitude death) in time-delay coupled oscillator networks. We show that a simple characteristic function governs the stability of amplitude death. The simple function enables us to explicitly obtain the stability ranges of the delay time. These ranges depend on the number of oscillators and the network topology. Thus, for situations where the number of oscillators and/or network topology are unknown, one cannot determine the delay time that induces amplitude death. We propose a simple procedure for designing a delay time for which amplitude death is locally stable for any number of oscillators and any network topology. The theoretical results are confirmed by numerical examples. In addition, it is found that the stability ranges of the delay time are much wider than those for conventional delay-coupled oscillator networks.https://ieeexplore.ieee.org/document/10843202/Amplitude deathextended time-delay feedbackoscillator networksstability analysis |
| spellingShingle | Shinsuke Mizukami Keiji Konishi Koki Yoshida Yoshiki Sugitani Naoyuki Hara Amplitude Death in Extended Time-Delay Coupled Oscillator Networks IEEE Access Amplitude death extended time-delay feedback oscillator networks stability analysis |
| title | Amplitude Death in Extended Time-Delay Coupled Oscillator Networks |
| title_full | Amplitude Death in Extended Time-Delay Coupled Oscillator Networks |
| title_fullStr | Amplitude Death in Extended Time-Delay Coupled Oscillator Networks |
| title_full_unstemmed | Amplitude Death in Extended Time-Delay Coupled Oscillator Networks |
| title_short | Amplitude Death in Extended Time-Delay Coupled Oscillator Networks |
| title_sort | amplitude death in extended time delay coupled oscillator networks |
| topic | Amplitude death extended time-delay feedback oscillator networks stability analysis |
| url | https://ieeexplore.ieee.org/document/10843202/ |
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