Fractional Dynamics of Individuals in Complex Networks

The dependence of the behavior of a single individual on the global dynamics of the social network to which it belongs is an open problem in sociology. We demonstrate that for a dynamical network belonging to the Ising universality class this problem can be approached analytically through a subordination procedure. The analysis leads to a linear fractional differential equation of motion for the average trajectory of the individual, whose analytic solution for the probability of changing states is a Mittag-Leffler function. Consequently, the analysis provides a linear description of the average dynamics of an individual, without linearization of the complex network dynamics.

• Publication year

  2018

• Venue

  Frontiers of Physics

• Publication date

  2018-10-16

• Fields of study

  Not labeled

• Identifiers
  DOI 10.3389/fphy.2018.00110
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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