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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Tweaking synchronization by connectivity modifications

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Autor(es):
Schultz, Paul [1, 2] ; Peron, Thomas [1, 3] ; Eroglu, Deniz [1, 2] ; Stemler, Thomas [4] ; Avila, Gonzalo Marcelo Ramirez [5] ; Rodrigues, Francisco A. [6] ; Kurths, Jurgen [7, 8, 1, 2]
Número total de Autores: 7
Afiliação do(s) autor(es):
[1] Potsdam Inst Climate Impact Res, POB 60 12 03, D-14412 Potsdam - Germany
[2] Humboldt Univ, Dept Phys, Newtonstr 15, D-12489 Berlin - Germany
[3] Univ Sao Paulo, Inst Fis Sao Carlos, Sao Paulo - Brazil
[4] Univ Western Australia, Sch Math & Stat, 35 Stirling Highway, Crawley, WA 6009 - Australia
[5] Univ Mayor de San Andres, Inst Invest Fis, Casilla 8635, La Paz - Bolivia
[6] Univ Sao Paulo, Inst Ciencias Matemat & Comp, CP 668, BR-13560970 Sao Paulo - Brazil
[7] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE - Scotland
[8] Nizhnii Novgorod State Univ, Dept Control Theory, Gagarin Ave 23, Nizhnii Novgorod 606950 - Russia
Número total de Afiliações: 8
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 93, n. 6 JUN 10 2016.
Citações Web of Science: 7
Resumo

Natural and man-made networks often possess locally treelike substructures. Taking such tree networks as our starting point, we show how the addition of links changes the synchronization properties of the network. We focus on two different methods of link addition. The first method adds single links that create cycles of a well-defined length. Following a topological approach, we introduce cycles of varying length and analyze how this feature, as well as the position in the network, alters the synchronous behavior. We show that in particular short cycles can lead to a maximum change of the Laplacian's eigenvalue spectrum, dictating the synchronization properties of such networks. The second method connects a certain proportion of the initially unconnected nodes. We simulate dynamical systems on these network topologies, with the nodes' local dynamics being either discrete or continuous. Here our main result is that a certain number of additional links, with the relative position in the network being crucial, can be beneficial to ensure stable synchronization. (AU)

Processo FAPESP: 15/02486-3 - Sincronização de osciladores de Kuramoto em redes complexas
Beneficiário:Thomas Kaue Dal Maso Peron
Linha de fomento: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
Processo FAPESP: 12/22160-7 - Sincronização de osciladores de Kuramoto em redes complexas
Beneficiário:Thomas Kaue Dal Maso Peron
Linha de fomento: Bolsas no Brasil - Doutorado