periodic solutions of a one dimensional wilson-cowan type model
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ID: 204228
2007
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Abstract
We analyze a time independent integral equation defined on a spatially extended domain which arises in the modeling of neuronal networks. In our survey, the coupling function is oscillatory and the firing rate is a smooth "heaviside-like" function. We will derive an associated fourth order ODE and establish that any bounded solution of the ODE is also a solution of the integral equation. We will then apply shooting arguments to prove that the ODE has two "1-bump" periodic solutions.
| Reference Key |
krisner2007electronicperiodic
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| Authors | ;Edward P. Krisner |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2007 |
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| Keywords | Keywords not found |
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