Stability of nonlinear waves in a ring of neurons with delays
In this article a ring of identical neurons with self-feedback and delays is considered. Based on a former existence result of a bifurcation branch of periodic solutions, the authors obtain formulas about the bifurcation direction and stability of the periodic solutions. In particular, properties of phase-locked oscillatory waves, mirror-reflected and standing waves are discussed. The main tools used in the article are normal form theory and center manifold theory.
scientific article; zbMATH DE number 5161135
scientific article