Chimera states on the surface of a sphere

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Mark J Panaggio, Daniel M Abrams

Abstract

A chimera state is a spatiotemporal pattern in which a network of identical coupled oscillators exhibits coexisting regions of asynchronous and synchronous oscillation. Two distinct classes of chimera states have been shown to exist: "spots" and "spirals." Here we study coupled oscillators on the surface of a sphere, a single system in which both spot and spiral chimera states appear. We present an analysis of the birth and death of spiral chimera states and show that although they coexist with spot chimeras, they are stable in disjoint regions of parameter space.

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Citations

Sep 4, 2015·Chaos·Iryna OmelchenkoEckehard Schöll
Oct 27, 2016·Chaos·Erik A MartensMark J Panaggio
Nov 3, 2017·Chaos·Sarika JalanBibhabasu Patra
Jan 20, 2018·Physical Review. E·Changhai TianZonghua Liu
Dec 30, 2017·Physical Review Letters·Zachary G NicolaouAdilson E Motter
Apr 2, 2016·Physical Review Letters·Iryna OmelchenkoEckehard Schöll
Oct 9, 2019·Scientific Reports·Ling KangZonghua Liu
Feb 13, 2016·Physical Review. E·Bidesh K BeraM Lakshmanan
Jan 13, 2018·Physical Review Letters·Tejas KotwalDaniel M Abrams
Feb 20, 2019·Physical Review. E·Nan YaoYing-Cheng Lai
Feb 13, 2016·Physical Review. E·Mark J PanaggioCarlo R Laing
May 17, 2017·Physical Review. E·Aleksandar GjurchinovskiAnna Zakharova
Feb 17, 2018·Physical Review. E·Iryna OmelchenkoEckehard Schöll
Mar 18, 2016·Physical Review. E·Thomas IselePhilipp Hövel
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlo R Laing
Aug 31, 2016·Physical Review. E·Hon Wai Lau, Jörn Davidsen
Jan 20, 2018·Physical Review. E·Irmantas Ratas, Kestutis Pyragas
May 10, 2020·Scientific Reports·Jan Frederik TotzKenneth Showalter
Dec 3, 2016·Physica D. Nonlinear Phenomena·Per Sebastian SkardalAlex Arenas

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