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Nonnormal amplification in random balanced neuronal networks
Nonnormal amplification random balanced neuronal networks Neurons and Cognition
2012/4/28
In dynamical models of cortical networks, the recurrent connectivity can amplify the input given to the network in two distinct ways. One is induced by the presence of near-critical eigenvalues in the...
Exponential Stability of Traveling Pulse Solutions of a Singularly Perturbed System ofIntegral Differential Equations Arising From Excitatory Neuronal Networks
Integral differential equations traveling pulse solutions exponential stability linear differential operators eigenvalue problems eigenvalue functions
2007/12/11
We establish the exponential stability of fast travelingpulse solutions to nonlinear singularly perturbed systems ofintegral differential equations arising from neuronal networks. Ithas been proved th...