Diffusive influence systems

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Abstract

Influence systems seek to model how influence, broadly defined, spreads across a dynamic network. We build a general analytical framework which we then use to prove that, while Turing-complete, influence dynamics of the diffusive type is almost surely asymptotically periodic. In addition to resolving the dynamics of a widely used family of multiagent systems, we introduce a general renormalization method for the bifurcation analysis of multiagent systems.

Original languageEnglish (US)
Pages (from-to)1403-1442
Number of pages40
JournalSIAM Journal on Computing
Volume44
Issue number5
DOIs
StatePublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Mathematics(all)

Keywords

  • Chaos
  • Dynamic networks
  • Dynamical systems
  • Influence systems
  • Limit cycles
  • Natural algorithms
  • Renormalization

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