Figure 2. The spectral densities (solid line) of the configurations presented in Fig. 1 for a system-network dimensionless coupling strength k = 0.01.

All networks have N = 200 nodes with a frequency ω₀ = 0.25. The spectral densities are probed (circles) with a constant interaction time t = 500. Each circle corresponds to a different value of the system frequency, which is varied to sample the underlying J(ω). The system is initially in vacuum state and the network temperature is T = 5. In the periodic chain (A), strong and weak couplings between network oscillators are 0.1 and 0.06, respectively. In the chain with a shortcut (B), all network couplings are set to 0.1. In the small-world network (C), the strong and weak couplings are 0.1 and 0.003, respectively. The random network (D) has equal couplings set to 0.05.