| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Explosive Synchronization and Emergence of Assortativity on Adaptive Networks |
| JIANG Hui-Jun, WU Hao, HOU Zhong-Huai**
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Department of Chemical Physics and Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei 230026
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| Cite this article: |
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JIANG Hui-Jun, WU Hao, HOU Zhong-Huai 2011 Chin. Phys. Lett. 28 056802 |
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Abstract We report an explosive transition from incoherence to synchronization of coupled phase oscillators on adaptive networks, following an Achlioptas process based on dynamic clustering information. During each adaptive step of the network topology, a portion of the links is randomly removed and the same amount of new links is generated following the so-called product rules (PRs) applied to the dynamic clusters. Particularly, two types of PRs are considered, namely, the min-PR and max-PR. We demonstrate that the synchronization transition becomes explosive in both cases. Interestingly, we find that the min-PR rule can lead to disassortativity of the network topology, while the max-PR rule leads to assortativity.
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| Keywords:
68.35.Rh
89.75.Fb
05.45.Xt
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Received: 17 January 2011
Published: 26 April 2011
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| PACS: |
68.35.Rh
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(Phase transitions and critical phenomena)
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89.75.Fb
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(Structures and organization in complex systems)
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05.45.Xt
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(Synchronization; coupled oscillators)
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