Topological stabilization for synchronized dynamics on networks

Giulia Cencetti (), Franco Bagnoli, Giorgio Battistelli, Luigi Chisci, Francesca Di Patti and Duccio Fanelli
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Giulia Cencetti: Dipartimento di Ingegneria dell’Informazione, Università degli Studi di Firenze
Franco Bagnoli: Dipartimento di Fisica e Astronomia and CSDC, Università degli Studi di Firenze
Giorgio Battistelli: Dipartimento di Ingegneria dell’Informazione, Università degli Studi di Firenze
Luigi Chisci: Dipartimento di Ingegneria dell’Informazione, Università degli Studi di Firenze
Francesca Di Patti: Dipartimento di Fisica e Astronomia and CSDC, Università degli Studi di Firenze
Duccio Fanelli: Dipartimento di Fisica e Astronomia and CSDC, Università degli Studi di Firenze

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 1, 1-14

Abstract: Abstract A general scheme is proposed and tested to control the symmetry breaking instability of a homogeneous solution of a spatially extended multispecies model, defined on a network. The inherent discreteness of the space makes it possible to act on the topology of the inter-nodes contacts to achieve the desired degree of stabilization, without altering the dynamical parameters of the model. Both symmetric and asymmetric couplings are considered. In this latter setting the web of contacts is assumed to be balanced, for the homogeneous equilibrium to exist. The performance of the proposed method are assessed, assuming the Complex Ginzburg-Landau equation as a reference model. In this case, the implemented control allows one to stabilize the synchronous limit cycle, hence time-dependent, uniform solution. A system of coupled real Ginzburg-Landau equations is also investigated to obtain the topological stabilization of a homogeneous and constant fixed point.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2016-70465-y

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