Sensitivity to Noise Variance in a Social Network Dynamics Model

Abstract

The dynamics of social networks are modeled with a system of continuous Stochastic Ordinary Differential Equations (SODE). With the proper amount of noise input, the SODE model captures dynamic features that are lacking in the corresponding deterministic ODE model. Therefore, sensitivity to noise levels is investigated by considering four different regimes: essentially deterministic, noise-enriched, noise-enlarged, and noise-dominated. Each regime is defined based on the behavior of solutions of the SODE, and the geometry of the regimes is categorized with stochastic simulations.

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Document Details

Document Type
Technical Report
Publication Date
Nov 14, 2005
Accession Number
ADA440344

Entities

People

  • A. F. Karr
  • H. K. Nguyen
  • H. Thomas Banks
  • J. R. Samuels Jr.

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Artificial Intelligence
  • Computational Science
  • Differential Equations
  • Dynamics
  • Equations
  • Flow Network
  • Information Operations
  • Intelligent Agents
  • Mathematical Models
  • Models
  • Random Variables
  • Runge Kutta Method
  • Scientific Research
  • Sensitivity
  • Simulations
  • Social Networks

Readers

  • Acoustics.
  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.