449 citations
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nlin.AO2024★ 21 cited
Synchrony for weak coupling in the complexified Kuramoto model
Moritz Thümler, Shesha G. M. Srinivas, Malte Schröder +1
We present the finite-size Kuramoto model analytically continued from real to complex variables and analyze its collective dynamics. For strong coupling, synchrony appears through…
physics.soc-ph2024★ 25 cited
Topological Determinants of Perturbation Spreading in Networks
Xiaozhu Zhang, Dirk Witthaut, Marc Timme
Spreading phenomena essentially underlie the dynamics of various natural and technological networked systems, yet how spatiotemporal propagation patterns emerge from such networks…
nlin.AO2024★ 7 cited
Fluctuation Response Patterns of Network Dynamics -- an Introduction
Xiaozhu Zhang, Marc Timme
Networked dynamical systems, i.e., systems of dynamical units coupled via nontrivial interaction topologies, constitute models of broad classes of complex systems, ranging from gen…