Scroll ring chimera states in oscillatory networks
| Autor: | Oleksandr Sudakov, Ievgen Sliusar, V. L. Maistrenko |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Ring (mathematics) Toroid Mathematics::Commutative Algebra media_common.quotation_subject Kuramoto model fungi Phase (waves) Scroll General Physics and Astronomy FOS: Physical sciences Pattern Formation and Solitons (nlin.PS) Inertia Space (mathematics) Nonlinear Sciences - Pattern Formation and Solitons Classical mechanics Mathematics::Algebraic Geometry Nonlinear Sciences::Pattern Formation and Solitons Topology (chemistry) media_common |
| Popis: | 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. 11 pages, 7 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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