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Mode locking in a periodically forced "ghostbursting" neuron model

Laing, Carlo R.; Coombes, Stephen

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Authors

Carlo R. 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 analyze 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 non-smooth. 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. © World Scientific Publishing Company.

Journal Article Type Article
Publication Date 2005-04
Deposit Date Apr 14, 2004
Publicly Available Date Oct 9, 2007
Print ISSN 0218-1274
Publisher World Scientific
Peer Reviewed Peer Reviewed
Volume 15
Issue 4
Pages 1433-1444
DOI https://doi.org/10.1142/S0218127405012557
Keywords ghostbursting, mode-locking, Arnol'd tongues, integrate-and-fire
Public URL https://nottingham-repository.worktribe.com/output/1020998

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