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Higher-order interactions enhance stochastic resonance in coupled oscillators
Hongye Wang1, Xueqi Li1, Youming Lei1,2,3
1Northwestern Polytechnical University, School of Mathematics and Statistics, Xi'an 710072, China.
Physical Review. E
|February 20, 2026
Summary
Higher-order interactions significantly boost stochastic resonance (SR) and synchronization in oscillator networks. Unlike pairwise coupling, these higher-order effects provide sustained enhancement, even at strong coupling strengths.
Area of Science:
- Nonlinear dynamics
- Complex systems
- Network science
Background:
- Stochastic resonance (SR) studies traditionally focus on pairwise interactions.
- Higher-order interactions' impact on collective behavior and SR is often overlooked.
- Understanding these complex interactions is crucial for signal propagation in networks.
Purpose of the Study:
- Investigate stochastic resonance in coupled bistable oscillators with higher-order interactions.
- Compare the effects of higher-order versus pairwise coupling on SR and synchronization.
- Explore the influence of coupling strength, radius, and network size on SR.
Main Methods:
- Simulated a coupled array of bistable oscillators.
- Incorporated higher-order interaction terms in the coupling.
- Analyzed temporal SR and spatial synchronization metrics.
- Varied coupling strengths, radii, and network sizes.
Main Results:
- Higher-order interactions enhance both temporal SR and spatial synchronization.
- Unlike pairwise coupling, higher-order interactions offer sustained SR enhancement even at strong coupling.
- Nonlinear components in higher-order coupling prevent identical synchronization at large strengths.
- Larger coupling radii generally improve SR.
- A moderate network size maximizes SR enhancement (finite-size effect).
Conclusions:
- Higher-order interactions are critical for robust SR and synchronization in complex networks.
- The nonlinear nature of higher-order coupling provides unique advantages for signal processing.
- Findings suggest potential applications in transmitting weak signals through higher-order networks.
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