104 citations · 353 across the 12 of their papers we have counts for
12 papers
Low-Dimensional Phase Diagram of Higher-Order Networked Systems
Jia-Jie Qin, Jack Murdoch Moore, Xiaozhu Zhang +1
Higher-order networks exhibit rich critical phenomena that cannot be captured by traditional pairwise models. Here, we develop an analytical dimension-reduction framework that maps…
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…
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…
Absence of pure voltage instabilities in the third order model of power grid dynamics
Moritz Thümler, Xiaozhu Zhang, Marc Timme
Secure operation of electric power grids fundamentally relies on their dynamical stability properties. For the third order model, a paradigmatic model that captures voltage dynamic…
Dynamic perturbation spreading in networks
Malte Schröder, Xiaozhu Zhang, Justine Wolter +1
Understanding how local perturbations induce the transient dynamics of a network of coupled units is essential to control and operate such systems. Often a perturbation initiated i…
Dynamic Vulnerability in Oscillatory Networks and Power Grids
Xiaozhu Zhang, Cheng Ma, Marc Timme
Recent work found distributed resonances in driven oscillator networks and AC power grids. The emerging dynamic resonance patterns are highly heterogeneous and nontrivial, dependin…
Fluctuation-induced Distributed Resonances in Oscillatory Networks
Xiaozhu Zhang, Sarah Hallerberg, Moritz Matthiae +2
Self-organized network dynamics prevails for systems across physics, biology and engineering. How external signals generate distributed responses in networked systems fundamentally…
Quantifying Transient Spreading Dynamics on Networks
Justine Wolter, Benedict Lünsmann, Xiaozhu Zhang +2
Spreading phenomena on networks are essential for the collective dynamics of various natural and technological systems, from information spreading in gene regulatory networks to ne…
Escape Routes, Weak Links, and Desynchronization in Fluctuation-driven Networks
Benjamin Schäfer, Moritz Matthiae, Xiaozhu Zhang +3
Shifting our electricity generation from fossil fuel to renewable energy sources introduces large fluctuations to the power system. Here, we demonstrate how increased fluctuations,…
Network susceptibilities: theory and applications
Debsankha Manik, Martin Rohden, Henrik Ronellenfitsch +4
We introduce the concept of network susceptibilities quantifying the response of the collective dy- namics of a network to small parameter changes. We distinguish two types of susc…
Critical links and nonlocal rerouting in complex supply networks
Dirk Witthaut, Martin Rohden, Xiaozhu Zhang +2
Link failures repeatedly induce large-scale outages in power grids and other supply networks. Yet, it is still not well understood, which links are particularly prone to inducing s…
Predictability of Critical Transitions
Xiaozhu Zhang, Christian Kuehn, Sarah Hallerberg
Critical transitions in multistable systems have been discussed as models for a variety of phenomena ranging from the extinctions of species to socio-economic changes and climate t…