44 citations · 66 across the 7 of their papers we have counts for
7 papers
Preferential Attachment with Local Flexibility
Tingyu Zhao, Balázs Maga, Pierfrancesco Dionigi +6
From the formation of social ties to the budding quantum internet, growing networks often exhibit local flexibility upon new nodes attaching to an existing network. In our proposed…
Combined topological and spatial constraints are required to capture the structure of neural connectomes
Anastasiya Salova, István A. Kovács
Volumetric brain reconstructions provide an unprecedented opportunity to gain insights into the complex connectivity patterns of neurons in an increasing number of organisms. Here,…
Analyzing states beyond full synchronization on hypergraphs requires methods beyond projected networks
Anastasiya Salova, Raissa M. D'Souza
A common approach for analyzing hypergraphs is to consider the projected adjacency or Laplacian matrices for each order of interactions (e.g., dyadic, triadic, etc.). However, this…
Cluster synchronization on hypergraphs
Anastasiya Salova, Raissa M. D'Souza
Full synchronization of dynamical elements coupled via hypergraphs can be analyzed with the hypergraph projection onto dyadic matrices, but this is not sufficient for analyzing clu…
Network and Phase Symmetries Reveal That Amplitude Dynamics Stabilize Decoupled Oscillator Clusters
J. Emenheiser, A. Salova, J. Snyder +2
Oscillator networks display intricate synchronization patterns. Determining their stability typically requires incorporating the symmetries of the network coupling. Going beyond an…
Decoupled synchronized states in networks of linearly coupled limit cycle oscillators
Anastasiya Salova, Raissa M. D'Souza
Networks of limit cycle oscillators can show intricate patterns of synchronization such as splay states and cluster synchronization. Here we analyze dynamical states that display a…
Koopman Operator and its Approximations for Systems with Symmetries
Anastasiya Salova, Jeffrey Emenheiser, Adam Rupe +2
Nonlinear dynamical systems with symmetries exhibit a rich variety of behaviors, including complex attractor-basin portraits and enhanced and suppressed bifurcations. Symmetry argu…