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2011-12-13
On the Existence of Unstable Bumps in Neural Networks
Vadim KostrykinAnna Oleynik
文献摘要
We study the neuronal field equation, a nonlinear integro-differential equation of Hammerstein type. By means of the Amann three fixed point theorem we prove the existence of bump solutions to this equation. Using the Krein-Rutman theorem we show their Lyapunov instability.
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