Threshold of Front Propagation in Neural Fields: An Interface Dynamics Approach
نویسندگان
چکیده
منابع مشابه
Threshold of front propagation in neural fields: An interface dynamics approach
Neural field equations model population dynamics of large-scale networks of neurons. Wave propagation in neural fields is often studied by constructing traveling wave solutions in the wave coordinate frame. Nonequilibrium dynamics are more challenging to study, due to the nonlinearity and nonlocality of neural fields, whose interactions are described by the kernel of an integral term. Here, we ...
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(b) In our original analysis of spontaneous fronts (section 2.2), we required that ∆(t) = O( ), and Taylor expanded with respect to ∆(t). The correct condition is d∆(t) = O( ). Since ∆(t) turns out to be a Wiener process, this means that d∆(t) is distributed according to a Gaussian and could take on arbitrarily large values. However, for weak noise the probability that this occurs is exponentia...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2018
ISSN: 0036-1399,1095-712X
DOI: 10.1137/18m1165797