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JOURNALS // Izvestiya of Saratov University. Physics // Archive

Izv. Sarat. Univ. Physics, 2025 Volume 25, Issue 3, Pages 295–304 (Mi isuph575)

Radiophysics, Electronics, Acoustics

Coherent resonance in the modified Vyshkind – Rabinovich model

D. V. Romanenko, S. V. Grishin

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.

Keywords: coherent resonance, chaos, spin waves.

UDC: 530.182:537.86

Received: 22.11.2024
Revised: 29.08.2025
Accepted: 15.05.2025

DOI: 10.18500/1817-3020-2025-25-3-295-304



© Steklov Math. Inst. of RAS, 2026