Fractional Stochastic Individuals

Abstract

The decision making model (DMM) [1, 2] has been shown to generate phase transitions, to be topologically complex and to manifest temporal complexity through size-dependent random fluctuations in the switching times between the two critical states of consensus. These properties are entailed by the fundamental assumption that the network elements in the DMM imperfectly imitate one another. The process of subordination establishes that a single network element can be described by a fractional master equation whose analytic solution yields the observed autocorrelation function obtained by numerical integration of the DMM to a high degree of accuracy.

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Document Details

Document Type
Technical Report
Publication Date
May 16, 2013
Accession Number
AD1003075

Entities

People

  • B. J. West
  • Malgorzata Turalska

Organizations

  • Army Research Office

Tags

DTIC Thesaurus Topics

  • Autocorrelation
  • Couplings
  • Differential Equations
  • Dynamic Response
  • Dynamics
  • Equations
  • Exponential Functions
  • Human Behavior
  • Information Science
  • Intervals
  • Phase Transformations
  • Probability
  • Social Networks
  • Statistics
  • Time Intervals
  • Transitions
  • Two Dimensional

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