Existence and Stability of Standing Pulses in Neural Networks: II Stability

Details Existence and Stability of Standing Pulses in Neural Networks: II Stability Existence and Stability of Standing Pulses in Neural Networks: II Stability

2004-07-08

arxiv.org/abs/q-bio/0407014v1

Biology

Quantitative Biology

Neurons and Cognition

31 pages, 16 figures, submitted to SIAM Journal on Applied Dynamical Systems

Scientific paper

We analyze the stability of standing pulse solutions of a neural network integro-differential equation. The network consists of a coarse-grained layer of neurons synaptically connected by lateral inhibition with a non-saturating nonlinear gain function. When two standing single-pulse solutions coexist, the small pulse is unstable, and the large pulse is stable. The large single-pulse is bistable with the ``all-off'' state. This bistable localized activity may have strong implications for the mechanism underlying working memory. We show that dimple pulses have similar stability properties to large pulses but double pulses are unstable.

Affiliated with

Also associated with

No associations

Rating

Existence and Stability of Standing Pulses in Neural Networks: II Stability does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Existence and Stability of Standing Pulses in Neural Networks: II Stability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence and Stability of Standing Pulses in Neural Networks: II Stability will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-222611