On the Existence of Unstable Bumps in Neural Networks

Details On the Existence of Unstable Bumps in Neural Networks On the Existence of Unstable Bumps in Neural Networks

2011-12-13

arxiv.org/abs/1112.2941v1

Mathematics

Dynamical Systems

Scientific paper

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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