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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.)

Boundaries of synchronization in oscillator networks

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Medeiros, Everton S. [1, 2] ; Medrano-T, Rene O. [3] ; Caldas, Ibere L. [2] ; Feudel, Ulrike [1]
Total Authors: 4
[1] Carl von Ossietzky Univ Oldenburg, Inst Chem & Biol Marine Environm, Oldenburg - Germany
[2] Univ Sao Paulo, Inst Phys, Rua Matao, Travessa R 187, BR-05508090 Sao Paulo - Brazil
[3] Univ Fed Sao Paulo, Dept Fis, Sao Paulo - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Physical Review E; v. 98, n. 3 SEP 4 2018.
Web of Science Citations: 0

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: 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: 11/19296-1 - Nonlinear dynamics
Grantee:Iberê Luiz Caldas
Support type: 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 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