Abstract
A new method of controlling Fitzhugh-Nagumo (F-N) neural oscillators, Fitzhugh [1], with local coupling is presented. It is proved that through the use of an additive closed-loop controlling action that entrains each neural oscillator to a ‘goal’ behavior, necessary and sufficient conditions for the occurrence of synchronization in networks of unidirectionally self-connected neural oscillators are obtained in terms of asymptotic stability. These conditions suggest that rapid global synchronization can be achieved using sufficiently strong local inhibitory connections.
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Dragoi, V., Grosu, I. Synchronization of Locally Coupled Neural Oscillators. Neural Processing Letters 7, 199–210 (1998). https://doi.org/10.1023/A:1009618318908
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DOI: https://doi.org/10.1023/A:1009618318908