Stochastic resonance in higher-order networks driven by colored noise

We investigate stochastic resonance (SR) in an ensemble of coupled overdamped bistable oscillators driven by colored noise. The network incorporates the weighted contributions of both pairwise coupling and 2-simplex coupling. Our findings reveal a suppression effect of colored noise on SR in higher-order networks, namely, that increasing the noise correlation time monotonically reduces the resonance peak. Furthermore, for a fixed noise correlation time, increasing the weight of higher-order interactions decreases the peak amplitude. Meanwhile, as both the noise correlation time and the weight of higher-order interactions increase, the optimal noise intensity shifts progressively to larger values. To clarify the underlying mechanism, we establish a close connection between SR and the four-stage variation in network synchronization level. Specifically, the effects of higher-order coupling and colored noise on SR can be understood through their impact on network synchronization, which exhibits distinct extrema. Our analysis reveals that higher-order interactions primarily promote the spatial propagation of suppression effects due to colored noise.