Noise-induced Intermittent Oscillation Death in a Synergetic Model

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Authors

  • R. Jaimes-Reátegui Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz, de León 1144, Paseo de la Montaña, Lagos de Moreno,Jalisco, Mexico Author
  • D. A. Magallón-García Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz, de León 1144, Paseo de la Montaña, Lagos de Moreno,Jalisco, Mexico Author
  • A. Gallegos Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz, de León 1144, Paseo de la Montaña, Lagos de Moreno,Jalisco, Mexico Author
  • G. Huerta-Cuellar Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz, de León 1144, Paseo de la Montaña, Lagos de Moreno,Jalisco, Mexico Author
  • J HGarcL Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz, de León 1144, Paseo de la Montaña, Lagos de Moreno,Jalisco, Mexico Author
  • A. N. Pisarchik Centre for Biomedical Technology, Technical University of Madrid, Campus de Montegancedo, Pozuelo de Alarc´on, 28223 Madrid, Spain Author

DOI:

https://doi.org/10.5890/DNC.2020.03.012

Abstract

We study noise-induced intermittency in a synergetic model of two coupled oscillators with asymmetric nonlinear coupling. This model was previously used to simulate visual perception of ambiguous images. We show that additive noise induces preference for one of the coexisting unstable steady states. When the noise intensity exceeds a certain threshold value, the oscillations of one of the coupled subsystems are interrupted during some time intervals, resulting in intermittent oscillation death, while another subsystem exhibits noisy oscillations in the vicinity of an unstable fixed point.

References

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[8] Magallón-García, D.A., Jaimes-Reátegui, R., and Huerta-Cuellar, G. (2017), Study of multistable visual perception by stochastic modulation using a synergetic model, Cybernetics and Physics, 6, 139-144.

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PublishedMarch 2020

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How to Cite

Jaimes-Reátegui, R., Magallón-García, D. A., Gallegos, A., Huerta-Cuellar, G., HGarcL, J., & Pisarchik, A. N. (2026). Noise-induced Intermittent Oscillation Death in a Synergetic Model. Discontinuity, Nonlinearity, and Complexity, 9(1), 167-172. https://doi.org/10.5890/DNC.2020.03.012