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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.)

Star-type oscillatory networks with generic Kuramoto-type coupling: A model for ``Japanese drums synchrony{''}

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Vlasov, Vladimir [1] ; Pikovsky, Arkady [2, 1] ; Macau, Elbert E. N. [3]
Total Authors: 3
[1] Univ Potsdam, Inst Phys & Astron, D-14476 Potsdam - Germany
[2] Nizhnii Novgorod State Univ, Dept Control Theory, Nizhnii Novgorod 606950 - Russia
[3] Natl Inst Space Res INPE, BR-12227010 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Chaos; v. 25, n. 12 DEC 2015.
Web of Science Citations: 14

We analyze star-type networks of phase oscillators by virtue of two methods. For identical oscillators we adopt the Watanabe-Strogatz approach, which gives full analytical description of states, rotating with constant frequency. For nonidentical oscillators, such states can be obtained by virtue of the self-consistent approach in a parametric form. In this case stability analysis cannot be performed, however with the help of direct numerical simulations we show which solutions are stable and which not. We consider this system as a model for a drum orchestra, where we assume that the drummers follow the signal of the leader without listening to each other and the coupling parameters are determined by a geometrical organization of the orchestra. (C) 2015 AIP Publishing LLC. (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