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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.)

Geometric signature of complex synchronisation scenarios

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Author(s):
Feldhoff, J. H. [1, 2] ; Donner, R. V. [1] ; Donges, J. F. [2, 1, 3] ; Marwan, N. [1] ; Kurths, J. [2, 1, 4]
Total Authors: 5
Affiliation:
[1] Potsdam Inst Climate Impact Res, D-14412 Potsdam - Germany
[2] Humboldt Univ, Dept Phys, D-12489 Berlin - Germany
[3] Stockholm Univ, Stockholm Resilience Ctr, S-11419 Stockholm - Sweden
[4] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3FX - Scotland
Total Affiliations: 4
Document type: Journal article
Source: EPL; v. 102, n. 3 MAY 2013.
Web of Science Citations: 9
Abstract

Synchronisation between coupled oscillatory systems is a common phenomenon in many natural as well as technical systems. Varying the coupling strength often leads to qualitative changes in the dynamics exhibiting different types of synchronisation. Here, we study the geometric signatures of coupling along with the onset of generalised synchronisation (GS) between two coupled chaotic oscillators by mapping the systems' individual as well as joint recurrences in phase space to a complex network. For a paradigmatic continuous-time model system, we show that the transitivity properties of the resulting joint recurrence networks display distinct variations associated with changes in the structural similarity between different parts of the considered trajectories. They therefore provide a useful new indicator for the emergence of GS. (AU)

FAPESP's process: 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants