70 citations · 149 across the 9 of their papers we have counts for
10 papers
Signature stability analysis for networks of coupled dynamical systems with Hermitian Jacobian
Anne-Ly Do, Stefano Boccaletti, Jeremias Epperlein +2
The central theme of complex systems research is understanding the emergent macroscopic properties of a system from the interplay of its microscopic constituents. Here, we ask what…
Meso-scale obstructions to stability of 1D center manifolds for networks of coupled differential equations with symmetric Jacobian
Jeremias Epperlein, Anne-Ly Do, Thilo Gross +1
A linear system , , , with , has a one-dimensional center manifold $E^c = \{v \in \mathbb{R}^n…
Engineering mesoscale structures with distinct dynamical implications in networks of delay-coupled delay oscillators
Anne-Ly Do, Johannes Höfener, Thilo Gross
The dynamics of networks of interacting systems depends intricately on the interaction topology. When the dynamics is explored, generally the whole topology has to be considered. H…
Analytical investigation of self-organized criticality in neural networks
Felix Droste, Anne-Ly Do, Thilo Gross
Dynamical criticality has been shown to enhance information processing in dynamical systems, and there is evidence for self-organized criticality in neural networks. A plausible me…
Coordination, Differentiation and Fairness in a population of cooperating agents
Anne-Ly Do, Lars Rudolf, Thilo Gross
In a recent paper, we analyzed the self-assembly of a complex cooperation network. The network was shown to approach a state where every agent invests the same amount of resources.…
Graphical notation reveals topological stability criteria for collective dynamics in complex networks
Anne-Ly Do, Stefano Boccaletti, Thilo Gross
We propose a graphical notation by which certain spectral properties of complex systems can be rewritten concisely and interpreted topologically. Applying this notation to analyze…