期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 45, 期 3, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/45/3/033001
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资金
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1120327] Funding Source: National Science Foundation
We survey recent analytical approaches to studying the spatiotemporal dynamics of continuum neural fields. Neural fields model the large-scale dynamics of spatially structured biological neural networks in terms of nonlinear integrodifferential equations whose associated integral kernels represent the spatial distribution of neuronal synaptic connections. They provide an important example of spatially extended excitable systems with nonlocal interactions and exhibit a wide range of spatially coherent dynamics including traveling waves oscillations and Turing-like patterns.
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