Time delay effects on collective resonant behaviors in two coupled fractional oscillators with mass fluctuations
Abstract In this study, we introduce a coupled fractional system consisting of two fluctuating-mass oscillators with time delay and investigate their collective resonant behaviors. First, we achieve complete synchronization between the average behaviors of these oscillators. We then derive the exact...
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Nature Portfolio
2025-01-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-86080-1 |
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| author | Lifeng Lin Huiqi Wang |
| author_facet | Lifeng Lin Huiqi Wang |
| author_sort | Lifeng Lin |
| collection | DOAJ |
| description | Abstract In this study, we introduce a coupled fractional system consisting of two fluctuating-mass oscillators with time delay and investigate their collective resonant behaviors. First, we achieve complete synchronization between the average behaviors of these oscillators. We then derive the exact analytical expression for the output amplitude gain, and based on this, we observe generalized stochastic resonance (GSR) in the system. We further examine how GSR behavior depends on system parameters, demonstrating that coupling strength, fractional order, and time delay are crucial in facilitating and optimizing its intensity. Finally, numerical simulations are conducted to validate the analytical results. |
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| id | doaj-art-224fec6620604e259194453d8f61c722 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-224fec6620604e259194453d8f61c7222025-01-19T12:17:06ZengNature PortfolioScientific Reports2045-23222025-01-0115111410.1038/s41598-025-86080-1Time delay effects on collective resonant behaviors in two coupled fractional oscillators with mass fluctuationsLifeng Lin0Huiqi Wang1School of Big Data, Fuzhou University of International Studies and TradeCollege of Mathematics and Statistics, Chongqing UniversityAbstract In this study, we introduce a coupled fractional system consisting of two fluctuating-mass oscillators with time delay and investigate their collective resonant behaviors. First, we achieve complete synchronization between the average behaviors of these oscillators. We then derive the exact analytical expression for the output amplitude gain, and based on this, we observe generalized stochastic resonance (GSR) in the system. We further examine how GSR behavior depends on system parameters, demonstrating that coupling strength, fractional order, and time delay are crucial in facilitating and optimizing its intensity. Finally, numerical simulations are conducted to validate the analytical results.https://doi.org/10.1038/s41598-025-86080-1Coupled fractional oscillatorsTime delayMass fluctuationCollective resonant behaviorGeneralized stochastic resonance (GSR) |
| spellingShingle | Lifeng Lin Huiqi Wang Time delay effects on collective resonant behaviors in two coupled fractional oscillators with mass fluctuations Scientific Reports Coupled fractional oscillators Time delay Mass fluctuation Collective resonant behavior Generalized stochastic resonance (GSR) |
| title | Time delay effects on collective resonant behaviors in two coupled fractional oscillators with mass fluctuations |
| title_full | Time delay effects on collective resonant behaviors in two coupled fractional oscillators with mass fluctuations |
| title_fullStr | Time delay effects on collective resonant behaviors in two coupled fractional oscillators with mass fluctuations |
| title_full_unstemmed | Time delay effects on collective resonant behaviors in two coupled fractional oscillators with mass fluctuations |
| title_short | Time delay effects on collective resonant behaviors in two coupled fractional oscillators with mass fluctuations |
| title_sort | time delay effects on collective resonant behaviors in two coupled fractional oscillators with mass fluctuations |
| topic | Coupled fractional oscillators Time delay Mass fluctuation Collective resonant behavior Generalized stochastic resonance (GSR) |
| url | https://doi.org/10.1038/s41598-025-86080-1 |
| work_keys_str_mv | AT lifenglin timedelayeffectsoncollectiveresonantbehaviorsintwocoupledfractionaloscillatorswithmassfluctuations AT huiqiwang timedelayeffectsoncollectiveresonantbehaviorsintwocoupledfractionaloscillatorswithmassfluctuations |