State-dependent vulnerability of synchronization

Everton S. Medeiros, Rene O. Medrano-T, Iberê L. Caldas, Tamás Tél, Ulrike Feudel

Research output: Contribution to journalArticle

Abstract

A state-dependent vulnerability of synchronization is shown to exist in a complex network composed of numerically simulated electronic circuits. We demonstrate that disturbances to the local dynamics of network units can produce different outcomes to synchronization depending on the current state of its trajectory. We address such state dependence by systematically perturbing the synchronized system at states equally distributed along its trajectory. We find the states at which the perturbation desynchronizes the network to be complicatedly mixed with the ones that restore synchronization. Additionally, we characterize perturbation sets obtained for consecutive states by defining a safety index between them. Finally, we demonstrate that the observed vulnerability is due to the existence of an unstable chaotic set in the system's state space.

Original languageEnglish
Article number052201
JournalPhysical Review E
Volume100
Issue number5
DOIs
Publication statusPublished - Nov 4 2019

Fingerprint

vulnerability
Vulnerability
synchronism
Synchronization
Dependent
trajectories
Trajectory
Perturbation
perturbation
Complex Networks
Demonstrate
Consecutive
safety
State Space
disturbances
Disturbance
Safety
Unstable
Electronics
Unit

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Medeiros, E. S., Medrano-T, R. O., Caldas, I. L., Tél, T., & Feudel, U. (2019). State-dependent vulnerability of synchronization. Physical Review E, 100(5), [052201]. https://doi.org/10.1103/PhysRevE.100.052201

State-dependent vulnerability of synchronization. / Medeiros, Everton S.; Medrano-T, Rene O.; Caldas, Iberê L.; Tél, Tamás; Feudel, Ulrike.

In: Physical Review E, Vol. 100, No. 5, 052201, 04.11.2019.

Research output: Contribution to journalArticle

Medeiros, ES, Medrano-T, RO, Caldas, IL, Tél, T & Feudel, U 2019, 'State-dependent vulnerability of synchronization', Physical Review E, vol. 100, no. 5, 052201. https://doi.org/10.1103/PhysRevE.100.052201
Medeiros ES, Medrano-T RO, Caldas IL, Tél T, Feudel U. State-dependent vulnerability of synchronization. Physical Review E. 2019 Nov 4;100(5). 052201. https://doi.org/10.1103/PhysRevE.100.052201
Medeiros, Everton S. ; Medrano-T, Rene O. ; Caldas, Iberê L. ; Tél, Tamás ; Feudel, Ulrike. / State-dependent vulnerability of synchronization. In: Physical Review E. 2019 ; Vol. 100, No. 5.
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