Hierarchy of partially synchronous states in a ring of coupled identical oscillators

M Zhang, Y Yang, J Yang - Physical Review E, 2023 - APS
In coupled identical oscillators, complete synchronization has been well formulated;
however, partial synchronization still calls for a general theory. In this work, we study the …

Effects of Repulsive Coupling in Ensembles of Excitable Elements

R Ronge - 2022 - edoc.hu-berlin.de
We study the collective dynamics of class I excitable elements, which can be described
within the theory of nonlinear dynamics as systems close to a saddle-node bifurcation on an …

[HTML][HTML] Bifurcations of clusters and collective oscillations in networks of bistable units

M Salman, C Bick, K Krischer - Chaos: An Interdisciplinary Journal of …, 2021 - pubs.aip.org
We investigate dynamics and bifurcations in a mathematical model that captures
electrochemical experiments on arrays of microelectrodes. In isolation, each individual …