Design of highly synchronizable and robust networks

Ernesto Estrada, Silvia Gago, Gilles Caporossi

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this paper, the design of highly synchronizable, sparse and robust dynamical networks is addressed. Better synchronizability means faster synchronization of the oscillators, sparsity means a low ratio of links per nodes and robustness refers to the resilience of a network to the random failures or intentional removal of some of the nodes/links. Golden spectral dynamical networks (graphs) are those for which the spectral spread (the difference between the largest and smallest eigenvalues of the adjacency matrix) is equal to the spectral gap (the difference between the two largest eigenvalues of the adjacency matrix) multiplied by the square of the golden ratio. These networks display the property of “small-worldness”, are very homogeneous and have large isoperimetric (expansion) constant, together with a very high synchronizability and robustness to failures of individual oscillators. In particular, the regular bipartite dynamical networks, reported here by the first time, have the best possible expansion and consequently are the most robust ones against node/link failures or intentional attacks.

Original languageEnglish
Pages (from-to)1835-1842
Number of pages8
JournalAutomatica
Volume46
Issue number11
DOIs
Publication statusPublished - Nov 2010

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Keywords

  • networks
  • synchronization
  • robustness
  • systems design
  • complex systems
  • graph theory
  • fault tolerant systems
  • multi-agent systems

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