| Full text | |
| Author(s): |
Medeiros, Everton S.
;
Medrano-T, Rene O.
;
Caldas, Ibere L.
;
Feudel, Ulrike
Total Authors: 4
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 98, n. 3, p. 5-pg., 2018-09-04. |
| Abstract | |
We analyze the final state sensitivity of nonlocal networks with respect to initial conditions of their units. By changing the initial conditions of a single network unit, we perturb an initially synchronized state. Depending on the perturbation strength, we observe the existence of two possible network long-term states: (i) The network neutralizes the perturbation effects and returns to its synchronized configuration. (ii) The perturbation leads the network to an alternative desynchronized state. By computing uncertainty exponents of a two-dimensional cross section of the state space, we find the existence of fractal basin boundaries separating synchronized solutions from desynchronized ones. We attribute these features to an unstable chaotic set in which trajectories persist for times indefinitely long in the network. (AU) | |
| FAPESP's process: | 11/19296-1 - Nonlinear dynamics |
| Grantee: | Iberê Luiz Caldas |
| 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: | 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: | 17/05521-0 - Tipping points triggering extinctions in ecological networks |
| Grantee: | Everton Santos Medeiros |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |