542 citations · 2.9k across the 29 of their papers we have counts for
29 papers
Early warning signals for phase transitions in networks
A. V. Goltsev, S. N. Dorogovtsev
The percolation phase transition in complex network systems attracts much attention and has numerous applications in various research fields. Finite size effects smooth the transit…
Sync and swarm: solvable model of non-identical swarmalators
S. Yoon, K. P. O'Keeffe, J. F. F. Mendes +1
We study a model of non-identical swarmalators, generalizations of phase oscillators that both sync in time and swarm in space. The model produces four collective states: asynchron…
Distinct dynamical behavior in Erdős-Rényi networks, regular random networks, ring lattices, and all-to-all neuronal networks
Marinho A. Lopes, Alexander V. Goltsev
Neuronal network dynamics depends on network structure. In this paper we study how network topology underpins the emergence of different dynamical behaviors in neuronal networks. I…
Structural stability of interaction networks against negative external fields
S. Yoon, A. V. Goltsev, J. F. F. Mendes
We explore structural stability of weighted and unweighted networks of positively interacting agents against a negative external field. We study how the agents support the activity…
A neuronal network model of interictal and recurrent ictal activity
Marinho A. Lopes, KyoungEun Lee, Alexander V. Goltsev
We propose a neuronal network model which undergoes a saddle-node bifurcation on an invariant circle as the mechanism of the transition from the interictal to the ictal (seizure) s…
Sensitivity of directed networks to the addition and pruning of edges and vertices
A. V. Goltsev, G. Timár, J. F. F. Mendes
We study the sensitivity of directed complex networks to the addition and pruning of edges and vertices and introduce the susceptibility, which quantifies this sensitivity. We show…