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

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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.

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Authors and Affiliations

  1. Department of Physics and Research Institute of Physics and Chemistry, Chonbuk National University, Jeonju, 561-756, Korea

    Hyunsuk Hong

  2. Department of Physics, Sungkyunkwan University, Suwon, 440-746, Korea

    Beom Jun Kim

Authors
  1. Hyunsuk Hong
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  2. Beom Jun Kim
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Correspondence to Beom Jun Kim.

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Hong, H., Kim, B.J. Winding-number excitation in one-dimensional oscillators with variable interaction range. Journal of the Korean Physical Society 64, 954–957 (2014). https://doi.org/10.3938/jkps.64.954

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