NDLI: Winding-number excitation in one-dimensional oscillators with variable interaction range

Content Provider	Springer Nature Link
Author	Hong, Hyunsuk Kim, Beom Jun
Copyright Year	2014
Abstract	At how long of an interaction range does an oscillator system behave as a fully-connected one? To answer this question, we consider a system of nonlocally-coupled phase oscillators in one dimension, and explore the effects of a variable interaction range L on collective dynamics. In particular, we investigate the winding-number distribution, paying particular attention to the existence of a twisted wave in the system, and observe that the twisted state vanishes when the interaction range exceeds a critical value. Finite-size scaling of the width of the winding-number distribution reveals that the transition occurs at 2L/N ≈ 0.6, regardless of the system size N. We also show that at the same transition point for the topological twisted state, the phase synchrony in the system becomes partial.
Starting Page	954
Ending Page	957
Page Count	4
File Format	PDF
ISSN	03744884
Journal	Journal of the Korean Physical Society
Volume Number	64
Issue Number	7
e-ISSN	19768524
Language	English
Publisher	The Korean Physical Society
Publisher Date	2014-04-23
Publisher Place	Seoul
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Coupled oscillators Interaction range Theoretical, Mathematical and Computational Physics Winding number Twisted state Physics Particle and Nuclear Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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Winding-number excitation in one-dimensional oscillators with variable interaction range