Journal article
Stationary bumps in a piecewise smooth neural field model with synaptic depression
- Abstract:
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We analyze the existence and stability of stationary pulses or bumps in a one–dimensional piecewise smooth neural field model with synaptic depression. The continuum dynamics is described in terms of a nonlocal integrodifferential equation, in which the integral kernel represents the spatial distribution of synaptic weights between populations of neurons whose mean firing rate is taken to be a Heaviside function of local activity. Synaptic depression dynamically reduces the strength of synapt...
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- Publication date:
- 2010-01-01
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- UUID:
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uuid:3bad10dd-0bb1-4046-a4d2-f7932ea4f596
- Local pid:
- oai:eprints.maths.ox.ac.uk:894
- Deposit date:
- 2011-05-20
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- Copyright date:
- 2010
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