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- J. A. MÃ©ndez-BermÃºdez, A AlcÃ¡zar-LÃ³pez, A J MartÃnez-Mendoza, Francisco Aparecido Rodrigues, Thomas K Dm Peron
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2015

By the use of extensive numerical simulations, we show that the nearest-neighbor energy-level spacing distribution P(s) and the entropic eigenfunction localization length of the adjacency matrices ofâ€¦ (More)

- Peng Ji, Thomas K Dm Peron, Peter J. Menck, Francisco Aparecido Rodrigues, Juergen Kurths
- Physical review letters
- 2013

The emergence of explosive synchronization has been reported as an abrupt transition in complex networks of first-order Kuramoto oscillators. In this Letter we demonstrate that the nodes in aâ€¦ (More)

- Bernard Sonnenschein, Thomas K Dm Peron, Francisco Aparecido Rodrigues, Juergen Kurths, Lutz Schimansky-Geier
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2015

We study two intertwined globally coupled networks of noisy Kuramoto phase oscillators that have the same natural frequency but differ in their perception of the mean field and their contribution toâ€¦ (More)

- Paul Schultz, Thomas K Dm Peron, +4 authors Juergen Kurths
- Physical review. E
- 2016

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 propertiesâ€¦ (More)

- Thomas K Dm Peron, Peng Ji, Francisco Aparecido Rodrigues, Juergen Kurths
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2015

In this paper we analyze the second-order Kuramoto model in the presence of a positive correlation between the heterogeneity of the connections and the natural frequencies in scale-free networks. Weâ€¦ (More)

- Thomas K Dm Peron, Juergen Kurths, Francisco Aparecido Rodrigues, Lutz Schimansky-Geier, Bernard Sonnenschein
- Physical review. E
- 2016

We explore identical RÃ¶ssler systems organized into two equally sized groups, among which differing positive and negative in- and out-coupling strengths are allowed. With this asymmetric coupling, weâ€¦ (More)

- Deniz Eroglu, Thomas K Dm Peron, +5 authors Juergen Kurths
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2014

The Shannon entropy of a time series is a standard measure to assess the complexity of a dynamical process and can be used to quantify transitions between different dynamical regimes. An alternativeâ€¦ (More)

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