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

Bibliographical note

© APS

Keywords

  • chaotic system
  • delay systems
  • synchronisation
  • networks

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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, 95(5), [052210]. https://doi.org/10.1103/PhysRevE.95.052210