Markovian noise-induced delta synchronization approach for Hindmarsh–Rose model

Marat Akhmet, Kağan Başkan and Cihan Yeşil

Chaos, Solitons & Fractals, 2024, vol. 185, issue C

Abstract: The paper explores noise-induced synchronization in uncoupled Hindmarsh–Rose neurons, introducing two distinctive elements: the application of Markovian noise and an analysis of synchronization via unpredictability. The noise is defined as an unpredictable and continuous process with characteristics proper for stochasticity. While identical synchronization is also investigated, the primary focus is to reveal synchronization in noise intensity domains that elude conventional detection methods, through delta synchronization within the neural system. Furthermore, a stronger form of synchronization, namely complete synchronization of unpredictability, is found to emerge in the domain with identical synchronization. The research findings are substantiated by numerical outcomes assessing unpredictability and synchronization, alongside comprehensive tables displaying characteristic time sequences for synchronization.

Keywords: Hindmarsh–Rose neurons; Unpredictability; Delta synchronization; Complete synchronization of unpredictability; Markovian noise; Degree of numerical unpredictability; Degree of numerical synchronization; Identical synchronization; Poincaré chaos in stochasticity (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924007070

DOI: 10.1016/j.chaos.2024.115155

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