Inferring noise intensity and phase response from noisy synchronous oscillators
Numerous biological and microscale systems exhibit synchronization in noisy environments. The theory of such noisy oscillators and their synchronization has been developed and experimentally demonstrated, but inferring the noise intensity and phase response is not always straightforward. In this pap...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013076 |
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| author | Hisa-Aki Tanaka Somei Suga Akira Keida Hiroya Nakao Yutaka Jitsumatsu István Z. Kiss |
| author_facet | Hisa-Aki Tanaka Somei Suga Akira Keida Hiroya Nakao Yutaka Jitsumatsu István Z. Kiss |
| author_sort | Hisa-Aki Tanaka |
| collection | DOAJ |
| description | Numerous biological and microscale systems exhibit synchronization in noisy environments. The theory of such noisy oscillators and their synchronization has been developed and experimentally demonstrated, but inferring the noise intensity and phase response is not always straightforward. In this paper, we propose a useful formula that enables us to infer the noise intensity and phase response of a noisy oscillator synchronized with periodic external forcing. Through asymptotic approximations for small noise, we show that noisy synchronous oscillators satisfy a simple relationship among the noise intensity and measurable quantities, i.e., the stationary distribution of the oscillation phase and stationary probability current obtained as the average phase velocity, which is verified through systematic numerical analysis. The proposed formula facilitates a unified analysis and design of synchronous oscillators in weakly noisy environments. |
| format | Article |
| id | doaj-art-d18c8b35ad19440db33f3f24a52eebfd |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-d18c8b35ad19440db33f3f24a52eebfd2025-01-21T15:45:59ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101307610.1103/PhysRevResearch.7.013076Inferring noise intensity and phase response from noisy synchronous oscillatorsHisa-Aki TanakaSomei SugaAkira KeidaHiroya NakaoYutaka JitsumatsuIstván Z. KissNumerous biological and microscale systems exhibit synchronization in noisy environments. The theory of such noisy oscillators and their synchronization has been developed and experimentally demonstrated, but inferring the noise intensity and phase response is not always straightforward. In this paper, we propose a useful formula that enables us to infer the noise intensity and phase response of a noisy oscillator synchronized with periodic external forcing. Through asymptotic approximations for small noise, we show that noisy synchronous oscillators satisfy a simple relationship among the noise intensity and measurable quantities, i.e., the stationary distribution of the oscillation phase and stationary probability current obtained as the average phase velocity, which is verified through systematic numerical analysis. The proposed formula facilitates a unified analysis and design of synchronous oscillators in weakly noisy environments.http://doi.org/10.1103/PhysRevResearch.7.013076 |
| spellingShingle | Hisa-Aki Tanaka Somei Suga Akira Keida Hiroya Nakao Yutaka Jitsumatsu István Z. Kiss Inferring noise intensity and phase response from noisy synchronous oscillators Physical Review Research |
| title | Inferring noise intensity and phase response from noisy synchronous oscillators |
| title_full | Inferring noise intensity and phase response from noisy synchronous oscillators |
| title_fullStr | Inferring noise intensity and phase response from noisy synchronous oscillators |
| title_full_unstemmed | Inferring noise intensity and phase response from noisy synchronous oscillators |
| title_short | Inferring noise intensity and phase response from noisy synchronous oscillators |
| title_sort | inferring noise intensity and phase response from noisy synchronous oscillators |
| url | http://doi.org/10.1103/PhysRevResearch.7.013076 |
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