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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

State-dependent vulnerability of synchronization

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Medeiros, Everton S. [1, 2] ; Medrano-T, Rene O. [3] ; Caldas, There L. [1] ; Tel, Tamas [4, 5] ; Feudel, Ulrike [2]
Total Authors: 5
[1] Univ Sao Paulo, Inst Phys, Rua Matao, Travessa R 187, BR-05508090 Sao Paulo - Brazil
[2] Carl von Ossietzky Univ Oldenburg, Inst Chem & Biol Marine Environm, Carl von Ossietzky Str 9-11, Box 2503, D-26111 Oldenburg - Germany
[3] Univ Fed Sao Paulo, Dept Phys, Rua Sao Nicolau 210, BR-09913030 Sao Paulo - Brazil
[4] Eotvos Lorand Univ, Inst Theoret Phys, Pazmany Peter Setany 1-A, H-1117 Budapest - Hungary
[5] MTA ELTE Theoret Phys Res Grp, Pazmany Peter Setany 1-A, H-1117 Budapest - Hungary
Total Affiliations: 5
Document type: Journal article
Source: Physical Review E; v. 100, n. 5 NOV 4 2019.
Web of Science Citations: 0

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. (AU)

FAPESP's process: 18/03211-6 - Non linear dynamics
Grantee:Iberê Luiz Caldas
Support type: Research Projects - Thematic Grants
FAPESP's process: 17/05521-0 - Tipping Points Triggering Extinctions in Ecological Networks
Grantee:Everton Santos Medeiros
Support type: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 13/26598-0 - Fractal Boundaries between chaos and periodicity in the parameters space.
Grantee:Everton Santos Medeiros
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 15/50122-0 - Dynamic phenomena in complex networks: basics and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants