論文

査読有り
2015年12月

Remote synchronization of amplitudes across an experimental ring of non-linear oscillators

CHAOS
  • Ludovico Minati

25
12
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1063/1.4936791
出版者・発行元
AMER INST PHYSICS

In this paper, the emergence of remote synchronization in a ring of 32 unidirectionally coupled non-linear oscillators is reported. Each oscillator consists of 3 negative voltage gain stages connected in a loop to which two integrators are superimposed and receives input from its preceding neighbour via a "mixing" stage whose gains form the main system control parameters. Collective behaviour of the network is investigated numerically and experimentally, based on a custom-designed circuit board featuring 32 field-programmable analog arrays. A diverse set of synchronization patterns is observed depending on the control parameters. While phase synchronization ensues globally, albeit imperfectly, for certain control parameter values, amplitudes delineate subsets of non-adjacent but preferentially synchronized nodes; this cannot be trivially explained by synchronization paths along sequences of structurally connected nodes and is therefore interpreted as representing a form of remote synchronization. Complex topology of functional synchronization thus emerges from underlying elementary structural connectivity. In addition to the Kuramoto order parameter and cross-correlation coefficient, other synchronization measures are considered, and preliminary findings suggest that generalized synchronization may identify functional relationships across nodes otherwise not visible. Further work elucidating the mechanism underlying this observation of remote synchronization is necessary, to support which experimental data and board design materials have been made freely downloadable. (C) 2015 AIP Publishing LLC.

Web of Science ® 被引用回数 : 17

リンク情報
DOI
https://doi.org/10.1063/1.4936791
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000367534200007&DestApp=WOS_CPL
URL
http://www.scopus.com/inward/record.url?eid=2-s2.0-84949818987&partnerID=MN8TOARS
URL
http://orcid.org/0000-0002-2532-1674
ID情報
  • DOI : 10.1063/1.4936791
  • ISSN : 1054-1500
  • eISSN : 1089-7682
  • ORCIDのPut Code : 37534903
  • SCOPUS ID : 84949818987
  • Web of Science ID : WOS:000367534200007

エクスポート
BibTeX RIS