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Memory effects on link formation in temporal networks: A fractional calculus approach

Author

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  • Rabbani, Fereshteh
  • Khraisha, Tamer
  • Abbasi, Fatemeh
  • Jafari, Gholam Reza

Abstract

Memory plays a vital role in the temporal evolution of interactions in complex systems. To understand this problem, we present this paper in which we propose to model memory via a temporal network model where nodes have a preferential tendency to establish links with more active nodes. Node activity is measured by the number of links in which a node participates in a given time interval. The paper presents two models: In the first model, we generate a temporal network without considering memory, while in the second, memory is added via the use of fractional-order derivative. The first model shows a characteristic time that reflects a change in the pattern of node activity. In the second model, we find that the stronger memory effect correlates negatively with the growth of node activity.

Suggested Citation

  • Rabbani, Fereshteh & Khraisha, Tamer & Abbasi, Fatemeh & Jafari, Gholam Reza, 2021. "Memory effects on link formation in temporal networks: A fractional calculus approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    • Handle: RePEc:eee:phsmap:v:564:y:2021:i:c:s0378437120308001
    DOI: 10.1016/j.physa.2020.125502
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    References listed on IDEAS

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