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Time-varying networks based on activation and deactivation mechanisms |
| Xue-Wen Wang(王学文)1,2, Yue-E Luo(罗月娥)1, Li-Jie Zhang(张丽杰)2, Xin-Jian Xu(许新建)2,3 |
1. School of Physics and Electronic Sciences, Guizhou Education University, Guiyang 550018, China;
2. College of Sciences, Shanghai University, Shanghai 200444, China;
3. Key Laboratory of Embedded System and Service Computing(Tongji University), Ministry of Education, Shanghai 201804, China |
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Abstract A class of models for activity-driven networks is proposed in which nodes vary in two states:active and inactive. Only active nodes can receive links from others which represent instantaneous dynamical interactions. The evolution of the network couples the addition of new nodes and state transitions of old ones. The active group changes with activated nodes entering and deactivated ones leaving. A general differential equation framework is developed to study the degree distribution of nodes of integrated networks where four different schemes are formulated.
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Received: 02 May 2017
Revised: 25 June 2017
Accepted manuscript online:
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PACS:
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89.75.Hc
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(Networks and genealogical trees)
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89.75.Fb
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(Structures and organization in complex systems)
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89.75.-k
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(Complex systems)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11665009) and the Natural Science Research Project of Guizhou Provincial Education Bureau (Grant No. KY[2015]355). |
Corresponding Authors:
Xin-Jian Xu
E-mail: xinjxu@shu.edu.cn
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Cite this article:
Xue-Wen Wang(王学文), Yue-E Luo(罗月娥), Li-Jie Zhang(张丽杰), Xin-Jian Xu(许新建) Time-varying networks based on activation and deactivation mechanisms 2017 Chin. Phys. B 26 108902
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