Literature DB >> 22680761

Explosive first-order transition to synchrony in networked chaotic oscillators.

I Leyva1, R Sevilla-Escoboza, J M Buldú, I Sendiña-Nadal, J Gómez-Gardeñes, A Arenas, Y Moreno, S Gómez, R Jaimes-Reátegui, S Boccaletti.   

Abstract

Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in networks of chaotic units. Namely, by means of both extensive simulations of networks made up of chaotic units, and validation with an experiment of electronic circuits in a star configuration, we demonstrate the existence of a first-order transition towards synchronization of the phases of the networked units. Our findings constitute the first prove of this kind of synchronization in practice, thus opening the path to its use in real-world applications.

Mesh:

Year:  2012        PMID: 22680761     DOI: 10.1103/PhysRevLett.108.168702

Source DB:  PubMed          Journal:  Phys Rev Lett        ISSN: 0031-9007            Impact factor:   9.161


  13 in total

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Journal:  Physica D       Date:  2015-11-01       Impact factor: 2.300

2.  Antagonistic Phenomena in Network Dynamics.

Authors:  Adilson E Motter; Marc Timme
Journal:  Annu Rev Condens Matter Phys       Date:  2018-03       Impact factor: 16.109

3.  Explosive transitions to synchronization in networks of phase oscillators.

Authors:  I Leyva; A Navas; I Sendiña-Nadal; J A Almendral; J M Buldú; M Zanin; D Papo; S Boccaletti
Journal:  Sci Rep       Date:  2013       Impact factor: 4.379

4.  Collective almost synchronisation in complex networks.

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Journal:  PLoS One       Date:  2012-11-08       Impact factor: 3.240

5.  Restoration of rhythmicity in diffusively coupled dynamical networks.

Authors:  Wei Zou; D V Senthilkumar; Raphael Nagao; István Z Kiss; Yang Tang; Aneta Koseska; Jinqiao Duan; Jürgen Kurths
Journal:  Nat Commun       Date:  2015-07-15       Impact factor: 14.919

6.  Explosive or Continuous: Incoherent state determines the route to synchronization.

Authors:  Can Xu; Jian Gao; Yuting Sun; Xia Huang; Zhigang Zheng
Journal:  Sci Rep       Date:  2015-07-10       Impact factor: 4.379

7.  Explosive synchronization as a process of explosive percolation in dynamical phase space.

Authors:  Xiyun Zhang; Yong Zou; S Boccaletti; Zonghua Liu
Journal:  Sci Rep       Date:  2014-06-06       Impact factor: 4.379

8.  Exact solution for first-order synchronization transition in a generalized Kuramoto model.

Authors:  Xin Hu; S Boccaletti; Wenwen Huang; Xiyun Zhang; Zonghua Liu; Shuguang Guan; Choy-Heng Lai
Journal:  Sci Rep       Date:  2014-12-01       Impact factor: 4.379

9.  Synchronization of phase oscillators with frequency-weighted coupling.

Authors:  Can Xu; Yuting Sun; Jian Gao; Tian Qiu; Zhigang Zheng; Shuguang Guan
Journal:  Sci Rep       Date:  2016-02-23       Impact factor: 4.379

10.  Explosive Contagion in Networks.

Authors:  J Gómez-Gardeñes; L Lotero; S N Taraskin; F J Pérez-Reche
Journal:  Sci Rep       Date:  2016-01-28       Impact factor: 4.379

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