16 citations · 20 across the 6 of their papers we have counts for
7 papers
Physical and emergent nonpairwise interactions in oscillator networks: from higher-order phase reduction to coupling design
Riccardo Muolo, Hiroya Nakao, Christian Bick
Phase reduction is a powerful technique to obtain phase models from highly dimensional oscillatory systems. Starting from pairwise interactions, a first order approximation yields…
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…
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…
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…
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…
Global bifurcations organizing weak chimeras in three symmetrically coupled Kuramoto oscillators with inertia
Peter Ashwin, Christian Bick
Frequency desynchronized attractors cannot appear in identically coupled symmetric phase oscillators because "overtaking" of phases cannot occur. This restriction no longer applies…
Higher-order phase reduction captures delay-dependent synchronization phenomena in physical oscillator networks
Babette A. J. de Wolff, Sagnik Chakraborty, István Z. Kiss +2
Coupled oscillators with time-delayed network interactions are critical to understand synchronization phenomena in many physical systems. Phase reductions to finite-dimensional pha…