1 citations · 2 across the 7 of their papers we have counts for
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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…