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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.
Chaos (Woodbury, N.Y.)
|April 21, 2026
Summary
Stochastic resonance (SR) in complex networks is suppressed by colored noise, especially in higher-order networks. Increased noise correlation and higher-order coupling reduce SR peak amplitude and shift optimal noise intensity.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Statistical Physics
Background:
- Stochastic resonance (SR) is a phenomenon where a non-linear system exhibits enhanced response to a weak signal under the influence of noise.
- Higher-order interactions, beyond pairwise coupling, are crucial in understanding complex network dynamics.
- Colored noise, characterized by a non-zero correlation time, introduces temporal correlations that can significantly alter system behavior.
Purpose of the Study:
- To investigate the impact of colored noise on stochastic resonance in an ensemble of coupled bistable oscillators.
- To analyze the role of higher-order interactions (pairwise and 2-simplex) in modulating stochastic resonance.
- To elucidate the underlying mechanisms connecting network synchronization and stochastic resonance under colored noise conditions.
Main Methods:
- Simulating an ensemble of coupled overdamped bistable oscillators.
- Incorporating weighted pairwise and 2-simplex coupling terms in the network model.
- Analyzing the system's response to colored noise with varying correlation times and interaction weights.
- Examining the relationship between network synchronization levels and stochastic resonance phenomena.
Main Results:
- Colored noise suppresses stochastic resonance in higher-order networks, with increasing noise correlation time monotonically reducing the resonance peak.
- Increasing the weight of higher-order interactions decreases the SR peak amplitude for a fixed noise correlation time.
- Both increasing noise correlation time and higher-order interaction weight shift the optimal noise intensity to higher values.
- Higher-order interactions facilitate the spatial propagation of noise-induced suppression effects.
Conclusions:
- Colored noise exhibits a suppression effect on stochastic resonance in complex networks, particularly those with higher-order interactions.
- Network synchronization dynamics are intrinsically linked to stochastic resonance, providing a mechanism to understand the observed effects.
- Higher-order coupling plays a significant role in how colored noise influences the collective behavior and resonance properties of the network.
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