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Stochastic resonance in higher-order networks driven by colored noise
Zhongwen Bi1,2, Dan Zhao3,4, Qi Liu5
1School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China.
Abstract:
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.
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