Stable phase-locked periodic solutions in a delay differential system |
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Authors: | Jianhong Wu |
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Institution: | Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, Ont., Canada M3J 1P3 |
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Abstract: | For a delay differential system where the nonlinearity is motivated by applications of neural networks to spatiotemporal pattern association and can be regarded as a perturbation of a step function, we obtain the existence, stability and limiting profile of a phase-locked periodic solution using an approach very much similar to the asymptotic expansion of inner and outer layers in the analytic method of singular perturbation theory. |
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Keywords: | 34K15 34K20 34C25 |
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