Control of network stochastic resonance in higher-order networks

Abstract

The Kuramoto model is a canonical paradigm for characterizing the synchronization dynamics of coupled systems. Recently, Kuramoto systems with higher-order coupling have emerged as a growing research hotspot, yet most studies have largely focused on dynamical behavior analysis, with little attention on the control of global network behaviors. Building on the network stochastic resonance theory proposed by Wang et al (2026 Proc. R. Soc. A: Math. Phys. Eng. Sci. 482 20250945), this study extends the control channel from three-body coupling modulation to pairwise coupling modulation, and proposes an open-loop dynamical regulation strategy for global collective behaviors. This strategy leverages network stochastic resonance to achieve effective control without the need for real-time monitoring of the network. The findings of this research provide useful insights for the regulation of collective dynamics in higher-order coupled Kuramoto networks and the open-loop dynamic control of complex oscillator networks.