Temporality-induced chaos in the Kuramoto Model

Switched dynamical systems have been extensively studied in engineering literature the context of system control. In these systems, laws change between different subsystems depending on environment, a process that is known to produce emergent behaviors---notably chaos. These dynamics are analogous those temporal networks, which network topology changes over time, thereby altering network. It stands reason networks may therefore chaos and other exotic behaviors unanticipated static yet concrete examples remain elusive. Here, we present minimal example networked temporality produces chaotic not possible any subnetwork alone. Specifically, consider variant famous Kuramoto model, alternates configurations response phase dynamics. We show under certain conditions this can strange attractor, verify presence by analyzing its geometrical properties. Our results provide new insights consequences for dynamics, acts as proof concept novel mechanism behind generating networks.