Explosive transition in adaptive Stuart-Landau oscillators with higher-order interactions.

Abstract

We investigate the nature of the transition to synchronization and death states in nonidentical Stuart-Landau oscillators adaptively coupled with pairwise and higher-order interactions. Our findings reveal that nonidentical Stuart-Landau oscillators globally coupled with higher-order interactions exhibit asynchronous oscillations. In contrast, systems coupled with pairwise interactions exhibit a continuous transition to synchronization. Introducing adaptation in pairwise interactions results in an explosive transition to synchronization. Furthermore, when the system is coupled with both pairwise and higher-order interactions, adaptation leads to an explosive transition to synchronization. For higher values of coupling strength, the coupled system also exhibits an explosive transition to the death state. Extending our analysis to random networks, we observe similar results. These findings align with the behavior observed in coupled Kuramoto oscillators, offering new insights into synchronization dynamics in complex systems with adaptive coupling and higher-order interactions.