The Synchronization of Coupled Oscillators According to the Kuramoto Model

This research investigates the synchronization behavior of coupled phase oscillators using the Kuramoto model across distinct network topologies, specifically ring and chain configurations. Through theoretical analysis and computational studies, we examine how oscillator coupling and network geometry influence synchronization phenomena. Our findings reveal critical differences in synchronization thresholds and dynamics between topologies, providing insights into the fundamental mechanisms governing coupled oscillator systems and their applications in physics and complex systems.