Evolution of complex networks via edge snapping

  • Authors:

  • Pietro DeLellis;Mario DiBernardo;Franco Garofalo;Maurizio Porfiri

  • Affiliations:

  • Department of Systems and Computer Engineering, University of Naples Federico II, Naples, Italy;Department of Systems and Computer Engineering, University of Naples Federico II, Naples, Italy and Department of Engineering Mathematics, University of Bristol, UK;Department of Systems and Computer Engineering, University of Naples Federico II, Naples, Italy;Department of Mechanical and Aerospace Engineering, Polytechnic Institute of New York University, Brooklyn, NY

  • Venue:
  • IEEE Transactions on Circuits and Systems Part I: Regular Papers
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper, we present a novel adaptive strategy for consensus and synchronization of complex networks. The strategy is inspired by bistable phenomena that are observed in a variety of mechanical systems. The novelty is that the adaptation involves the topology of the network itself rather than its coupling gains. In particular, we model the evolution of each coupling gain as a second order dynamical system that is subject to the action of a double-well potential. Through a new mechanism, termed as edge snapping, an unweighted network topology emerges at steady state. We assess the stability properties of the proposed scheme through analytical methods and numerical investigations. We conduct an extensive numerical study of the topological properties of the emerging network to elucidate the correlation between the initial conditions of the nodes' dynamics and the network structure.