Abstract
The effect of the splitting of oscillations under the influence of noise in a discrete neural model is studied. The phenomenological map-based Rulkov system is used as a conceptual model. The zone of quasiperiodic oscillations with closed invariant curves of the Canard type is considered. Using direct numerical simulation and the stochastic sensitivity function technique, we show the details of the splitting effect for different values of the bifurcation parameter.
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Acknowledgements
The work was supported by Russian Science Foundation (N 16-11-10098).
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Nasyrova, V.M., Ryashko, L.B. (2020). Stochastic Splitting of Oscillations in a Discrete Model of Neural Activity. In: Pinelas, S., Kim, A., Vlasov, V. (eds) Mathematical Analysis With Applications. CONCORD-90 2018. Springer Proceedings in Mathematics & Statistics, vol 318. Springer, Cham. https://doi.org/10.1007/978-3-030-42176-2_20
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DOI: https://doi.org/10.1007/978-3-030-42176-2_20
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