External Harmonic Forcing and Phase Entrainment in Stressed Nonlinear Networks

This work investigates the role of external harmonic forcing in stabilizing stressed nonlinear networks. We model a system of globally coupled oscillators subjected to high-variance stochastic perturbations and introduce a structured periodic forcing term. Within a Kuramoto-based framework, we show that this external harmonic drive acts as a dynamical pacemaker, inducing phase entrainment across the network. The externally imposed phase reference enables the system to achieve macroscopic coherence without relying on endogenous topological expansion or structural dissolution. As a result, relational entropy is significantly reduced, and the network is stabilized against avalanche dynamics. This framework provides a physically motivated perspective on how external periodic signals can act as control mechanisms for restoring coherence in non-equilibrium complex systems.