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Full-Commanding a Network: The Dictator

  • Clara Grácio
  • Sara Fernandes
  • Luís Mário Lopes
Conference paper
Part of the Studies in Computational Intelligence book series (SCI, volume 812)

Abstract

A network of chaotic dynamical systems may synchronize. For some networks there is the possibility that, coupling a new node to the network, the synchronization will be commanded by that new node. That possibility depends on the network and on the way the new node is coupled to the network. We consider a coupling that can provide what we call a full-commanding and we define the corresponding full-command-window. The limit situations corresponding to a completely connected network and to a completely disconnected one provide us some understanding about what makes a network more receptive or more resistant to commanding.

Keywords

Chaotic dynamical systems Complete synchronization Command Full-command windows Dictator 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Clara Grácio
    • 1
  • Sara Fernandes
    • 1
  • Luís Mário Lopes
    • 2
  1. 1.Department of MathematicsUniversidade de Évora and CIMA-UEÉvoraPortugal
  2. 2.Mathematics Unit, ADM, Instituto Superior de Engenharia de LisboaLisboaPortugal

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