Figure 1
The interactions between a strongly delayed inter-network coupling and a weak intra-network coupling create two communities of different frequencies in steady state.
(a), Snapshot of populations at two different time steps (black dashed vertical lines in b) near the steady state, for ω0 = 1.0, τ = 1.53, σIN = 0.01 and σEX = 0.5. The vertical position of each oscillator represents its phase, from −π to π and the color represents the frequencies achieved with oscillators mostly presenting values near the theoretical frequencies (1.63 and 4.63) of the steady state. Superposition of these two communities leads to breathing synchronization. (b), Time evolution of the order-parameter of populations Θ (blue) and Γ (red) composed of n = 305 oscillators each with ω0 = 1.0, τ = 1.53 and σEX = 0.5. Two scenarios of weak intra-network coupling are represented: σIN = 0.01 (continuous lines) and σIN = 0.001 (dashed lines).
