Synchronized bifurcation and stability in a ring of diffusively-coupled neurons with time delay
This type of architecture for a ring of diffusively-coupled neurons is new. Regard ? ? and ? ? as two parameters in analyzing the synchronized dynamics of partial-differential equation (PDE) system. Diffusion may make the ring system synchronous. Diffusion to a stable delay-differential equation (DDE) system may make it unstable. The coexistence of bifurcating periodic solutions and bistability or instability and bistability.
discrete delay distributed delay hopf bifurcation reaction-diffusion ring of neurons