We develop geometric dynamical systems methods to determine how various components contribute to a neuronal network's emergent population behavior. The results clarify the mu...
In this article we evaluate an epidemic algorithm for the synchronization of coupled Kuramoto oscillators in complex Peer-to-Peer topologies. The algorithm requires a periodic coup...
Ingo Scholtes, Jean Botev, Markus Esch, Peter Stur...
—We investigate the stability properties of discrete and hybrid stochastic nonlinear dynamical systems. More precisely, we extend the stochastic contraction theorems (which were ...
Previous numerical and analytical work has shown that synaptic coupling can allow a network of model neurons to synchronize despite heterogeneity in intrinsic parameter values. In ...
— Oscillatory network model with controllable oscillator dynamics and self-organized dynamical coupling has been created for synchronization-based image processing. The model was...
Eugene Grichuk, Margarita Kuzmina, Edward A. Manyk...