Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
406667 | Neurocomputing | 2014 | 14 Pages |
•Pinning of rotating waves in a ring of asymmetric sigmoidal neurons is studied.•A ring has asymmetric bidirectional coupling and self-coupling.•There are multiple pinned states with unsaturated neurons at wave fronts.•Pinning conditions depend on whether coupling is excitatory or inhibitory.
Effects of asymmetry in a sigmoidal output function of neurons on rotating waves in a ring of neurons with asymmetric bidirectional coupling and self-coupling were studied. Propagation of wave fronts in rotating waves failed, i.e., the pinning of rotating waves occurred not only when self-coupling was excitatory but also when self-coupling was inhibitory, in which there were unsaturated neurons at wave fronts. Conditions for the pinning of wave fronts were derived by using a piecewise linear output function. The pinning conditions depended on whether bidirectional coupling was excitatory or inhibitory in the presence of asymmetry in an output function.