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Tweaking synchronization by connectivity modifications

Urheber*innen
/persons/resource/Paul.Schultz

Schultz,  Paul
Potsdam Institute for Climate Impact Research;

/persons/resource/thomas.peron

Peron,  Thomas K. D.
Potsdam Institute for Climate Impact Research;

/persons/resource/deniz.eroglu

Eroglu,  Deniz
Potsdam Institute for Climate Impact Research;

Stemler,  T.
External Organizations;

Ramírez Ávila,  G. M.
External Organizations;

Rodrigues,  F. A.
External Organizations;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Volltexte (frei zugänglich)

20935oa.pdf
(Postprint), 3MB

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Zitation

Schultz, P., Peron, T. K. D., Eroglu, D., Stemler, T., Ramírez Ávila, G. M., Rodrigues, F. A., Kurths, J. (2016): Tweaking synchronization by connectivity modifications. - Physical Review E, 93, 062211.
https://doi.org/10.1103/PhysRevE.93.062211


Zitierlink: https://publications.pik-potsdam.de/pubman/item/item_20935
Zusammenfassung
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.