Periodic Solutions to a Ring of Identical Cells With Delay via the Equivariant Degree Method
Shi Yu · International Journal of Differential Equations · 2026
We investigate the existence and multiplicity of bifurcating solutions in a Hopfield–Cohen–Grossberg network with n identical components and time delays. Applying the equivariant degree method, we derive sufficient conditions guaranteeing periodic solutions and their multiplicities. Two examples are provided to exemplify the theoretical results.