Periodic Solutions to a Ring of Identical Cells With Delay via the Equivariant Degree Method
Abstract
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.
Fields of Study & Subjects
Neural Networks Stability and Synchronization
Nonlinear Dynamics and Pattern Formation
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- International Journal of Differential Equations
- Publisher
- Wiley
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN