Abstract Summary/Description
Many natural and engineered networks involve units coupled through multiple layers of interaction. For instance, neurons interact via excitatory, inhibitory, and electrical synapses whose co-action often leads to synergistic effects. Understanding how network topology governs synchronization in multilayer networks remains a fundamental challenge, largely due to limitations in current stability analysis methods. To address this gap, we introduce a connection graph approach that provides analytical predictions, revealing surprising roles of multilayer links in shaping synchronization dynamics in networks of saddle-focus oscillators.
