Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

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Romanenko D. V., Grishin S. V. Coherent resonance in the modified Vyshkind – Rabinovich model. Izvestiya of Saratov University. Physics , 2025, vol. 25, iss. 3, pp. 295-304. DOI: 10.18500/1817-3020-2025-25-3-295-304, EDN: HPVUSK

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
29.08.2025
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Language: 
Russian
Heading: 
Radiophysics, electronics, acoustics
Article type: 
Article
UDC: 
530.182:537.86
DOI: 
10.18500/1817-3020-2025-25-3-295-304
EDN: 
HPVUSK

Coherent resonance in the modified Vyshkind – Rabinovich model

Autors: 
Romanenko Dmitrii Vladimirovich, Saratov State University
Grishin Sergei V., Saratov State University
Abstract: 

Background and Objectives: The paper presents the results of theoretical study of the coherence resonance phenomenon in the modified Vyshkind – Rabinovich model. The model describes the chaotic dynamics of three parametrically interacting modes one of that (a high-frequency mode) is amplified and the other two (the low-frequency modes) are linearly damped. Materials and Methods: To observe the coherence resonance, one of the parameters of the modified Vyshkind – Rabinovich model (the high-frequency mode nonlinear increment) is modulated by noise possessing a uniform spectrum in a bounded frequency band. Results: The calculation results demonstrate an autocorrelation time maximum of the chaotic high-frequency mode envelope that is observed at an optimal level of external noise influence. Conclusion: The proposed method for coherence resonance implementation can be extended to noise-suppressed chaotic systems of another type.

Key words: 
coherent resonance
chaos
spin waves
Acknowledgments: 
This work was supported by the Russian Science Foundation (project No. 23-22-00274).
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Received: 
22.11.2024
Accepted: 
15.05.2025
Published: 
29.08.2025
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