  The Kuramoto model is a versatile mathematical framework that explains
phenomena resulting from interactions among phase oscillators. It finds
applications in various scientific and engineering domains. In this study, we
focused on a Y-shaped network, which serves as the fundamental unit of a tree
network. By simulating oscillators on the network, we generated heat maps for
different numbers of nodes and coupling strengths and demonstrated the
occurrence of different phases. Our findings reveal transitions between
synchronization, wave state, and chaos within the system.
