Journal
PHYSICAL REVIEW LETTERS
Volume 112, Issue 11, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.112.114102
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Funding
- National Natural Scientific Foundation of China [11305062, 11135001]
- Specialized Research Fund for the Doctoral Program [20130076120003]
- Australian Research Council Future Fellowship [FT110100896]
- Marie Curie IIF Fellowship [303180]
- CNPq
- Leverhulme Trust Grant [RPG-279]
- Government of the Russian Federation [14.Z50.31.0033]
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Spontaneous explosive emergent behavior takes place in heterogeneous networks when the frequencies of the nodes are positively correlated to the node degree. A central feature of such explosive transitions is a hysteretic behavior at the transition to synchronization. We unravel the underlying mechanisms and show that the dynamical origin of the hysteresis is a change of basin of attraction of the synchronization state. Our findings hold for heterogeneous networks with star graph motifs such as scale-free networks, and hence, reveal how microscopic network parameters such as node degree and frequency affect the global network properties and can be used for network design and control.
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