Persistent chimera states in nonlocally coupled phase oscillators

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Yusuke Suda, Koji Okuda

Abstract

Chimera states in the systems of nonlocally coupled phase oscillators are considered stable in the continuous limit of spatially distributed oscillators. However, it is reported that in the numerical simulations without taking such limit, chimera states are chaotic transient and finally collapse into the completely synchronous solution. In this Rapid Communication, we numerically study chimera states by using the coupling function different from the previous studies and obtain the result that chimera states can be stable even without taking the continuous limit, which we call the persistent chimera state.

References

Nov 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D HanselC Meunier
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H Kori, Y Kuramoto
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shin-ichiro Shima, Yoshiki Kuramoto
Nov 5, 2004·Physical Review Letters·Daniel M Abrams, Steven H Strogatz
Jun 4, 2008·Physical Review Letters·Gautam C SethiaFatihcan M Atay
Sep 4, 2008·Physical Review Letters·Daniel M AbramsDaniel A Wiley
Dec 3, 2008·Chaos·Edward Ott, Thomas M Antonsen
Jul 2, 2009·Chaos·Edward Ott, Thomas M Antonsen
Apr 7, 2010·Physical Review Letters·Erik A MartensSteven H Strogatz
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Oleh E Omel'chenkoYuri L Maistrenko
Apr 5, 2011·Chaos·M WolfrumY L Maistrenko
Jul 21, 2011·Physical Review Letters·Iryna OmelchenkoEckehard Schöll
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matthias Wolfrum, Oleh E Omel'chenko
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Iryna OmelchenkoEckehard Schöll
Jun 14, 2013·Proceedings of the National Academy of Sciences of the United States of America·Erik Andreas MartensOskar Hallatschek
Jun 19, 2013·Physical Review Letters·Iryna OmelchenkoEckehard Schöll
Sep 13, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jianbo XieHsien-Ching Kao
Oct 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David P RosinDaniel J Gauthier
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yun ZhuJunzhong Yang
Feb 2, 2015·Chaos·Peter Ashwin, Oleksandr Burylko
May 1, 2015·Scientific Reports·Sindre W HauglandKatharina Krischer

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Citations

Oct 27, 2016·Chaos·Erik A MartensMark J Panaggio
Feb 1, 2018·Scientific Reports·André E Botha, Mohammad R Kolahchi
Feb 17, 2018·Physical Review. E·Iryna OmelchenkoEckehard Schöll
May 16, 2018·Physical Review. E·Yusuke Suda, Koji Okuda
Aug 18, 2018·Annual Review of Condensed Matter Physics·Adilson E Motter, Marc Timme
Jul 22, 2020·Physical Review. E·Yusuke Suda, Koji Okuda
Feb 13, 2016·Physical Review. E·Mark J PanaggioCarlo R Laing
Jun 4, 2019·Chaos·Giulia RuzzeneRalph G Andrzejak
Sep 28, 2017·Physical Review Letters·Young Sul ChoAdilson E Motter
Dec 18, 2020·Physical Review. E·Giulia RuzzeneRalph G Andrzejak

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