3.7k citations · 5.1k across the 16 of their papers we have counts for
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Synchronization in clustered random networks
Thomas Kauê Dal'Maso Peron, Francisco Aparecido Rodrigues, Jürgen Kurths
In this paper we study synchronization of random clustered networks consisting of Kuramoto oscillators. More specifically, by developing a mean-field analysis, we find that the pre…
Detecting phase synchronization by localized maps: Application to neural networks
T. Pereira, M. S. Baptista, J. Kurths
We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by obser…
Reciprocity of Networks with Degree Correlations and Arbitrary Degree Sequences
Gorka Zamora--López, Vinko Zlatić, Changsong Zhou +2
Although most of the real networks contain a mixture of directed and bidirectional (reciprocal) connections, the reciprocity has received little attention as a subject of theor…
Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems
M. S. Baptista, T. Pereira, J. C. Sartorelli +2
We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are…
Decaying of Phase Synchronization - A Physiological Tool
Avi Gozolchiani, Shay Moshel, Jeffrey M. Hausdorff +3
We describe the effects of the asymmetry of cycles and non-stationarity in time series on the phase synchronization method. We develop a modified method that overcomes these effect…
Scale Invariant Fractal and Slow Dynamics in Nucleation and Growth Processes
M. K. Hassan, J. Kurths
We propose a stochastic counterpart of the classical Kolmogorov-Johnson-Mehl-Avrami (KJMA) model to describe the nucleation-and-growth phenomena of a stable phase (S-phase). We rep…