Synchronization of fluctuating delay-coupled chaotic networks

Manuel Jiménez-Martín, Javier Rodríguez-Laguna, Otti d'Huys, Javier de la Rubia, Elka Korutcheva

Research output: Contribution to journalArticle

Abstract

We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. Focusing on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone, we compare the synchronization properties of static and fluctuating networks in the regime of large delays. We find that random network switching may enhance the stability of synchronized states. Synchronization appears to be maximally stable when fluctuations are much faster than the time-delay, whereas it disappears for very slow fluctuations. For fluctuation time scales of the order of the time-delay, we report a resynchronizing effect in finite-size networks. Moreover, we observe characteristic oscillations in all regimes, with a periodicity related to the time-delay, as the system approaches or drifts away from the synchronized state.
Original languageEnglish
Article number052210
Number of pages11
JournalPhysical Review E
Volume95
Issue number5
DOIs
Publication statusPublished - 16 May 2017

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Time Delay
synchronism
Synchronization
Fluctuations
time lag
Unit
Small-world Network
Random Networks
Backbone
Bernoulli
Periodicity
Logistics
logistics
Time Scales
Oscillation
periodic variations
Interaction
oscillations
interactions

Bibliographical note

© APS

Keywords

  • chaotic system
  • delay systems
  • synchronisation
  • networks

Cite this

Jiménez-Martín, M., Rodríguez-Laguna, J., d'Huys, O., de la Rubia, J., & Korutcheva, E. (2017). Synchronization of fluctuating delay-coupled chaotic networks. Physical Review E, 95(5), [052210]. https://doi.org/10.1103/PhysRevE.95.052210
Jiménez-Martín, Manuel ; Rodríguez-Laguna, Javier ; d'Huys, Otti ; de la Rubia, Javier ; Korutcheva, Elka. / Synchronization of fluctuating delay-coupled chaotic networks. In: Physical Review E. 2017 ; Vol. 95, No. 5.
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Jiménez-Martín, M, Rodríguez-Laguna, J, d'Huys, O, de la Rubia, J & Korutcheva, E 2017, 'Synchronization of fluctuating delay-coupled chaotic networks', Physical Review E, vol. 95, no. 5, 052210. https://doi.org/10.1103/PhysRevE.95.052210

Synchronization of fluctuating delay-coupled chaotic networks. / Jiménez-Martín, Manuel; Rodríguez-Laguna, Javier; d'Huys, Otti; de la Rubia, Javier; Korutcheva, Elka.

In: Physical Review E, Vol. 95, No. 5, 052210, 16.05.2017.

Research output: Contribution to journalArticle

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T1 - Synchronization of fluctuating delay-coupled chaotic networks

AU - Jiménez-Martín, Manuel

AU - Rodríguez-Laguna, Javier

AU - d'Huys, Otti

AU - de la Rubia, Javier

AU - Korutcheva, Elka

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AB - We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. Focusing on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone, we compare the synchronization properties of static and fluctuating networks in the regime of large delays. We find that random network switching may enhance the stability of synchronized states. Synchronization appears to be maximally stable when fluctuations are much faster than the time-delay, whereas it disappears for very slow fluctuations. For fluctuation time scales of the order of the time-delay, we report a resynchronizing effect in finite-size networks. Moreover, we observe characteristic oscillations in all regimes, with a periodicity related to the time-delay, as the system approaches or drifts away from the synchronized state.

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Jiménez-Martín M, Rodríguez-Laguna J, d'Huys O, de la Rubia J, Korutcheva E. Synchronization of fluctuating delay-coupled chaotic networks. Physical Review E. 2017 May 16;95(5). 052210. https://doi.org/10.1103/PhysRevE.95.052210