1 citations · 2 across the 7 of their papers we have counts for
8 papers
Characterizing resonant solitary states as relative equilibria via normal form reduction
Bengi Dönmez, Bob Rink
We investigate solitary states in coupled oscillator networks, where a single oscillator detaches from a synchronized cluster and evolves at a distinct mean frequency. We focus on…
Reconstructing resonant phase oscillator interactions from noisy time series
Bengi Dönmez, Bob Rink
We present a method for reconstructing resonant interactions in weakly coupled phase oscillator systems from noisy time series. Instead of attempting to recover the full phase equa…
Emergence of higher-order interactions in systems of coupled Kuramoto oscillators with time delay
Narumi Fujii, Keisuke Taga, Riccardo Muolo +2
We show that higher-order interactions naturally emerge from time-delayed pairwise coupling in Kuramoto oscillators. By expanding the delayed pairwise coupling to the second order,…
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 coordinate-independent Pontryagin-Rodygin theorem for slow-fast averaging
Bob Rink, Theodore Vo, Martin Wechselberger
The slow drift along a manifold of periodic orbits is a key mathematical structure underlying bursting dynamics in many scientific applications. While classical averaging theory, a…
Non-Birkhoff periodic orbits in symmetric billiards
Casper Oelen, Bob Rink, Mattia Sensi
We study non-Birkhoff periodic orbits in symmetric convex planar billiards. Our main result provides a quantitative criterion for the existence of such orbits with prescribed minim…
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 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…