Mode locking in a periodically forced "ghostbursting" neuron model

Laing, Carlo and Coombes, Stephen (2004) Mode locking in a periodically forced "ghostbursting" neuron model.

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We study a minimal integrate-and-fire based model of a "ghostbursting" neuron under periodic stimulation. These neurons are involved in sensory processing in weakly electric fish. There exist regions in parameter space in which the model neuron is mode-locked to the stimulation. We analyse this locked behavior and examine the bifurcations that define the boundaries of these regions. Due to the discontinuous nature of the flow, some of these bifurcations are nonsmooth. This exact analysis is in excellent agreement with numerical simulations, and can be used to understand the response of such a model neuron to biologically realistic input.

Item Type: Article
Additional Information: To appear in the International Journal of Bifurcation and Chaos
Keywords: ghostbursting, mode-locking, Arnol'd tongues, integrate-and-fire
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Depositing User: Coombes, Prof Stephen
Date Deposited: 14 Apr 2004
Last Modified: 04 May 2020 20:31

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