Journal Article

FZJ-2022-03549

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Mixed-mode chimera states in pendula networks

Ebrahimzadeh, P. (Corresponding author)FZJ* ; Schiek, M.FZJ* ; Maistrenko, Y.FZJ*

2022
American Institute of Physics Woodbury, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/32836  doi:10.1063/5.0103071

Abstract: We report the emergence of peculiar chimera states in networks of identical pendula with global phase-lagged coupling. The states reported include both rotating and quiescent modes, i.e., with non-zero and zero average frequencies. This kind of mixed-mode chimeras may be interpreted as images of bump states known in neuroscience in the context of modeling the working memory. We illustrate this striking phenomenon for a network of 𝑁=100 coupled pendula, followed by a detailed description of the minimal non-trivial case of 𝑁=3. Parameter regions for five characteristic types of the system behavior are identified, which consist of two mixed-mode chimeras with one and two rotating pendula, classical weak chimera with all three pendula rotating, synchronous rotation, and quiescent state. The network dynamics is multistable: up to four of the states can coexist in the system phase state as demonstrated through the basins of attraction. The analysis suggests that the robust mixed-mode chimera states can generically describe the complex dynamics of diverse pendula-like systems widespread in nature.Chimera states generally refer to spatiotemporal patterns in networks of identical or close to identical oscillators, in which a group of oscillators is synchronized and the other group is asynchronous. For networks composed of Kuramoto oscillators with inertia, chimera states are manifested in the form of solitary states in which one or a few oscillators split off from the main synchronized cluster and start to rotate with a different average frequency. Chimeras of this kind include rotational modes, and their frequencies are determined by the system parameters. In networks of excitable elements, such as neurons, in contrary, chimeric spatiotemporal patterns typically arise in the form of bump states, where active spiking neurons (large amplitude) coexist with quiescent (subthreshold) ones. The bump states are created due to the competition mechanism between attractive and repulsive couplings, which suppresses the quiescent group. Then, the pendulum network can be viewed as a model bringing together the properties of the Kuramoto oscillators with inertia and the excitable theta neuron model, for which we show the emergence of mixed-mode chimeras with non-zero and zero average frequencies of individual oscillators from different groups.

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Contributing Institute(s):

1. Zentralinstitut für Elektronik (ZEA-2)

Research Program(s):

1. 5234 - Emerging NC Architectures (POF4-523) (POF4-523)
2. ACA - Advanced Computing Architectures (SO-092) (SO-092)

Appears in the scientific report 2022

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; National-Konsortium ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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