Explosive synchronization of weighted mobile oscillators

In recent years, explosive synchronization (ES) has attracted extensive interest due to its great significance in the study of epileptic seizures and cascading failures in the real world. In this paper, a weighting method based on the frequency mismatches and distances between linked oscillators is proposed to construct a Kuramoto-like model to study ES of mobile oscillators. An interesting phenomenon that the weighting of oscillators can induce a sudden and irreversible synchronization transition with hysteresis loop is revealed. The transition between continuous synchronization and ES can be tuned by the weighting factors. Moreover, it is found that the critical coupling strength and hysteresis loop width are affected by the initial frequency distribution, the number of oscillators, the communication radius, the setting of boundary conditions and the constant absolute velocity of oscillators. (C)2022 Elsevier B.V. All rights reserved.

Automated summary

This study proposes a weighting method based on frequency and distance to construct a model for studying ES of mobile oscillators. The weighting induces a sudden and irreversible synchronization transition with a hysteresis loop. The transition between continuous synchronization and ES can be tuned by the weighting factors, and it is affected by various factors.