Journal
PHYSICAL REVIEW RESEARCH
Volume 4, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.4.L032033
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Funding
- National Natural Science Foundation of China [11905068]
- Scientific Research Funds of Huaqiao University [ZQN-810]
- National Science Foundation [MCB-2126177]
- Higher-Order Network Reading Group by the Save 2050 Programme - Swarma Club
- Higher-Order Network Reading Group by the Save 2050 Programme - X-Order
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This study provides an exact criterion for explosive synchronization in coupled phase oscillator ensembles, revealing the relationship between dynamic and structural disorder in complex systems. It is crucial for understanding abrupt phase transitions and bistability in biological and engineered systems.
Ordered and disordered behavior in large ensembles of coupled oscillators map to different functional states in a wide range of applications, e.g., active and resting states in the brain and stable and unstable power grid configurations. For this reason, explosive synchronization transitions, which facilitate fast, abrupt changes between these functional states, has recently seen significant interest from researchers. While previous work has identified properties of complex systems that support explosive synchronization, these investigations have been conducted largely on an ad hoc basis. Here we provide an exact criterion for explosive synchronization in coupled phase oscillator ensembles by investigating the necessary relationship between dynamical and structural disorder. This result provides a critical step towards untangling the intertwined properties of complex systems responsible for abrupt phase transitions and bistability in biological and engineered systems.
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