| Full text | |
| Author(s): |
Medeiros, Everton S.
;
Medrano-T, Rene O.
;
Caldas, There L.
;
Tel, Tamas
;
Feudel, Ulrike
Total Authors: 5
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 100, n. 5, p. 7-pg., 2019-11-04. |
| 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. (AU) | |
| FAPESP's process: | 15/50122-0 - Dynamic phenomena in complex networks: basics and applications |
| Grantee: | Elbert Einstein Nehrer Macau |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 13/26598-0 - Fractal Boundaries between chaos and periodicity in the parameters space. |
| Grantee: | Everton Santos Medeiros |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 18/03211-6 - Non linear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 17/05521-0 - Tipping points triggering extinctions in ecological networks |
| Grantee: | Everton Santos Medeiros |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |