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Scroll ring chimera states in oscillatory networks
Author(s) -
Volodymyr Maistrenko,
Oleksandr Sudakov,
Ievgen Sliusar
Publication year - 2021
Publication title -
journal of physics communications
Language(s) - English
Resource type - Journals
ISSN - 2399-6528
DOI - 10.1088/2399-6528/ac1750
Subject(s) - scroll , toroid , inertia , chimera (genetics) , chaotic , topology (electrical circuits) , physics , ring (chemistry) , kuramoto model , control theory (sociology) , mechanics , mathematics , synchronization (alternating current) , classical mechanics , computer science , engineering , artificial intelligence , quantum mechanics , mechanical engineering , chemistry , combinatorics , biochemistry , plasma , organic chemistry , gene , control (management)
We report the appearance of a scroll ring and scroll toroid chimera states from the proposed initial conditions for the Kuramoto model of coupled phase oscillators in the 3D grid topology with inertia. The proposed initial conditions provide an opportunity to obtain as single as well as multiple scroll ring and toroid chimeras with different major and minor diameters. We analyze their properties and demonstrate, in particular, the patterns of coherent, partially coherent, and incoherent scroll ring chimera states with different structures of filaments and chaotic oscillators. Those patterns can coexist with solitary states and solitary patterns in the oscillatory networks.

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