Rotating waves in the Theta model for a ring of synaptically connected neurons

Details Rotating waves in the Theta model for a ring of synaptically connected neurons Rotating waves in the Theta model for a ring of synaptically connected neurons

2004-05-12

arxiv.org/abs/nlin/0405029v3

Nonlinear Sciences

Pattern Formation and Solitons

minor corrections

Scientific paper

We study rotating waves in the Theta model for a ring of synaptically-interacting neurons. We prove that when the neurons are oscillatory, at least one rotating wave always exists. In the case of excitable neurons, we prove that no travelling waves exist when the synaptic coupling is weak, and at least two rotating waves, a `fast' one and a `slow' one, exist when the synaptic coupling is sufficiently strong. We derive explicit upper and lower bounds for the `critical' coupling strength as well as for wave velocities. We also study the special case of uniform coupling, in which complete analytical results on the rotating waves can be achieved.

Affiliated with

Also associated with

No associations

Rating

Rotating waves in the Theta model for a ring of synaptically connected neurons 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 Rotating waves in the Theta model for a ring of synaptically connected neurons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rotating waves in the Theta model for a ring of synaptically connected neurons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-536831