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Entraining the topology and the dynamics of a network of phase oscillators (Articolo in rivista)

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Entraining the topology and the dynamics of a network of phase oscillators (Articolo in rivista) (literal)

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Alternative label

I. Sendiña-Nadal (1); I. Leyva (1); J.M. Buldú (1); J.A. Almendral (1); S. Boccaletti (2,3) (2009)
Entraining the topology and the dynamics of a network of phase oscillators
in Physical review. E, Statistical, nonlinear, and soft matter physics (Print)
(literal)

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I. Sendiña-Nadal (1); I. Leyva (1); J.M. Buldú (1); J.A. Almendral (1); S. Boccaletti (2,3) (literal)

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(1) Complex Systems Group, Universidad Rey Juan Carlos, c/Tulipán s/n, 28933 Móstoles, Madrid, Spain (2) Embassy of Italy in Tel Aviv, 25 Hamered Street, 68125 Tel Aviv, Israel (3) CNR-Istituto dei Sistemi Complessi, Via Madonna del Piano, 10, 50019 Sesto Fiorentino (Fi), Italy (literal)

Titolo

Entraining the topology and the dynamics of a network of phase oscillators (literal)

Abstract

We show that the topology and dynamics of a network of unsynchronized Kuramoto oscillators can be simultaneously controlled by means of a forcing mechanism which yields a phase locking of the oscillators to that of an external pacemaker in connection with the reshaping of the networks degree distribution. The entrainment mechanism is based on the addition, at regular time intervals, of unidirectional links from oscillators that follow the dynamics of a pacemaker to oscillators in the pristine graph whose phases hold a prescribed phase relationship. Such a dynamically based rule in the attachment process leads to the emergence of a power-law shape in the final degree distribution of the graph whenever the network is entrained to the dynamics of the pacemaker. We show that the arousal of a scale-free distribution in connection with the success of the entrainment process is a robust feature, characterizing different networks initial configurations and parameters. (literal)

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