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AuthorLiu, Yongjian
AuthorKhalaf, Abdul Jalil M.
AuthorJafari, Sajad
AuthorHussain, Iqtadar
Available date2020-08-18T08:34:45Z
Publication Date2019
Publication NameEPL
ResourceScopus
ISSN2955075
URIhttp://dx.doi.org/10.1209/0295-5075/127/40001
URIhttp://hdl.handle.net/10576/15668
AbstractDue to the interaction of the cells, cellular communications are carried out with emergent collective behaviors, such as synchronization. In this paper, a network of coupled genetic oscillators is studied by considering a two-dimensional framework and diffusive coupling. Each genetic oscillator is a simple gene element with delayed self-inhibitions, which can exhibit periodic and chaotic dynamics. The network is investigated under the variation of the diffusion coefficient, in both periodic and chaotic dynamics. The results indicate the emergence of the so-called chimera state, i.e., the coexistence of coherent and incoherent regions, for certain diffusion coefficients. The computing of the strength of incoherence as a statistical measure represents that the local dynamics of the elements have a significant role in the network behavior. Actually, in the chaotic dynamics, the chimera state emerges in higher diffusion coefficients and a wider range. The effect of the time delay on the network behavior is also investigated. Copyright - 2019 EPLA.
SponsorThis work was supported by the National Natural Science Foundation of China (Grant No. 11561069), the Guangxi Natural Science Foundation of China (Grant Nos. 2018GXNSFDA281028, 2017GXNSFAA198234) and the High Level Innovation Team Program from Guangxi Higher Education Institutions of China (Document No. [2018] 35).
Languageen
PublisherInstitute of Physics Publishing
SubjectKuramoto Model
Coupled Oscillators
Synchronization
TitleChimera state in a two-dimensional network of coupled genetic oscillators
TypeArticle
Issue Number4
Volume Number127


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