Bifurcation Analysis and Spatiotemporal Patterns of Nonlinear Oscillations in a Ring Lattice of Identical Neurons with Delayed Coupling

Figure 13

Evolution of system (33) with 𝛼=1.5,𝜏=2 starting from different initial values. (a) shows the time evolution for system (33) and (b) is the phase portrait for the first three components 𝑥₁,𝑥₂, and 𝑥₃. The rest state 𝑥₀ of system (2) is unstable and two nonzero equilibria 𝑥^∗₁ and 𝑥^∗₂ are stable.

(a)

(b)