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Mode locking in a periodically forced "ghostbursting" neuron model

Laing, Carlo; Coombes, Stephen

Authors

Carlo Laing



Abstract

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.

Citation

Laing, C., & Coombes, S. (2004). Mode locking in a periodically forced "ghostbursting" neuron model

Journal Article Type Article
Publication Date Apr 1, 2004
Deposit Date Apr 14, 2004
Publicly Available Date Oct 9, 2007
Peer Reviewed Peer Reviewed
Keywords ghostbursting, mode-locking, Arnol'd tongues, integrate-and-fire
Public URL http://eprints.nottingham.ac.uk/id/eprint/112
Additional Information To appear in the International Journal of Bifurcation and Chaos

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