12 citations · 12 across the 1 of their papers we have counts for
4 papers
Collective dynamics on higher-order networks
Federico Battiston, Christian Bick, Maxime Lucas +3
Higher-order interactions that nonlinearly couple more than two nodes are important in many networked systems, and their effects on collective dynamics are increasingly being studi…
Dynamics on invariant tori emerging through forced symmetry breaking in phase oscillator networks
Christian Bick, José Mujica, Bob Rink
We consider synchrony patterns in coupled phase oscillator networks that correspond to invariant tori. For specific nongeneric coupling, these tori are equilibria relative to a con…
Higher-order phase reduction for delay-coupled oscillators beyond the phase-shift approximation
Christian Bick, Bob W. Rink, Babette A. J. de Wolff
Network interactions between dynamical units are often subject to time delay. We develop a phase reduction method for delay-coupled oscillator networks. The method is based on rewr…
A Random-Walk Concentration Principle for Occupancy Processes on Finite Graphs
Davide Sclosa, Michel Mandjes, Christian Bick
This paper concerns discrete-time occupancy processes on a finite graph. Our results can be formulated in two theorems, which are stated for vertex processes, but also applied to e…