2019/12/10 by Lock Yue Chew, Chew, Lock Yue, Vee-Liem Saw +3
Engineering · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Electrical engineering #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Signal Processing (eess.SP) #eess.SP #electronic engineering #information engineering #nlin.AO #physics.soc-ph
paper · pdf · doi:10.48550/arxiv.1912.06470
19 pages, 4 figures, 2 videos (https://www.youtube.com/playlist?list=PLZIj25fISvwOALT0PADz_LiH0YbgKMkBz). This work was presented at the 15th International Conference on Dynamical Systems - Theory and Application in Łódź, Poland (2nd to 5th of December, 2019), under the special session dedicated to Prof Miguel A.F. Sanjuán on the occasion of the celebration of his 60th anniversary
arxiv created 2019/12/10 · arxiv updated 2019/12/16
Inspired by our recent work that relates bus bunching as a phenomenon of synchronisation of phase oscillators, we construct a model of Kuramoto oscillators that follows an analogous interaction mechanism of local unidirectional coupling. In the bus loop system, we can introduce a no-boarding policy as a form of kicking force to achieve a stable staggered (anti-bunched) state. For Kuramoto oscillators, it turns out that such stable anti-bunched states can exist (without any additional kicking force) if the number of oscillators are at least five. This correspondence between the bus loop system and the local unidirectional Kuramoto oscillators leads to the insight on how the bus loop system can remain staggered.