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Generic criterion for explosive synchronization in heterogeneous phase oscillator populations

delete2022-08-22
delete14
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OA
AI
C
Can Xu *
X
Xuan Wang
P
Per Sebastian Skardal
DOI:10.1103/PhysRevResearch.4.L032033delete
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Abstract

Abstract

En 中文
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.
Keywords:
KURAMOTO

Journal

Physical Review Research cover
Physical Review Research
IF:
4.2
Papers:
7.6K
Citations:
2.7W

Organization

T
Trinity College
Scholars:
429
Papers: 331
Citations: 323
H
huaqiao university
Scholars:
1.0W
Papers: 7.1K
Citations: 131