Chimera states on the route from coherence to rotating waves

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Patrycja JarosTomasz Kapitaniak

Abstract

We report different types of chimera states in the Kuramoto model with inertia. They arise on the route from coherence, via so-called solitary states, to the rotating waves. We identify the wide region in parameter space, in which a different type of chimera state, i.e., the imperfect chimera state, which is characterized by a certain number of oscillators that have escaped from the synchronized chimera's cluster, appears. We describe a mechanism for the creation of chimera states via the appearance of the solitary states. Our findings reveal that imperfect chimera states represent characteristic spatiotemporal patterns at the transition from coherence to incoherence.

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Citations

Oct 16, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Simona OlmiAlessandro Torcini
Aug 31, 2016·Physical Review. E·Xiyun ZhangZonghua Liu
Aug 31, 2016·Physical Review. E·Bidesh K BeraTanmoy Banerjee
Jan 20, 2018·Physical Review. E·Changhai TianZonghua Liu
Aug 3, 2019·Chaos·Richard Janis GoldschmidtAntonio Politi
Jul 3, 2020·Chaos·Volodymyr MaistrenkoOleksiy Osiv
Oct 8, 2016·Scientific Reports·Jerzy WojewodaTomasz Kapitaniak
Apr 16, 2020·Physical Review. E·Arnob RayChittaranjan Hens
Feb 6, 2020·Chaos·Dawid DudkowskiTomasz Kapitaniak
Feb 18, 2017·Physical Review. E·Yuri MaistrenkoTomasz Kapitaniak
Dec 7, 2018·Chaos·Tanmoy BanerjeeAnna Zakharova
Aug 3, 2019·Chaos·E RybalovaA Zakharova
Jul 23, 2016·Scientific Reports·Dawid DudkowskiTomasz Kapitaniak
Feb 3, 2018·Chaos·Patrycja JarosYuri Maistrenko
Nov 24, 2019·Scientific Reports·Huihui SongYanbin Qu
Oct 9, 2019·Scientific Reports·Ling KangZonghua Liu
Oct 16, 2016·Physical Review. E·J HizanidisG P Tsironis
Jun 4, 2019·Chaos·Bidesh K BeraJürgen Kurths
Dec 3, 2020·Chaos·N KrukH Koeppl
May 8, 2021·Royal Society Open Science·John VandermeerIvette Perfecto
Jun 18, 2021·Physical Review. E·Serhiy BrezetskyYuri Maistrenko
Aug 4, 2021·Chaos·Rico BernerEckehard Schöll

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