Evolution of quasiperiodicity in quorum-sensing coupled identical repressilators

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Evolution of quasiperiodicity in quorum-sensing coupled identical repressilators. / Stankevich, N.; Volkov, E.

In: Chaos, Vol. 30, No. 4, 043122, 01.04.2020.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{3964956ecd264e06943ce51ca77cc1b0,

title = "Evolution of quasiperiodicity in quorum-sensing coupled identical repressilators",

abstract = "The dynamics of three three-dimensional repressilators globally coupled by a quorum sensing mechanism was numerically studied. This number (three) of coupled repressilators is sufficient to obtain such a set of self-consistent oscillation frequencies of signal molecules in the mean field that results in the appearance of self-organized quasiperiodicity and its complex evolution over wide areas of model parameters. Numerically analyzing the invariant curves as a function of coupling strength, we observed torus doubling, three torus arising via quasiperiodic Hopf bifurcation, the emergence of resonant cycles, and secondary Neimark-Sacker bifurcation. A gradual increase in the oscillation amplitude leads to chaotizations of the tori and to the birth of weak, but multidimensional chaos.",

author = "N. Stankevich and E. Volkov",

note = "Publisher Copyright: {\textcopyright} 2020 Author(s).",

year = "2020",

month = apr,

day = "1",

doi = "10.1063/1.5140696",

language = "English",

volume = "30",

journal = "Chaos",

issn = "1054-1500",

publisher = "American Institute of Physics",

number = "4",

}

RIS

TY - JOUR

T1 - Evolution of quasiperiodicity in quorum-sensing coupled identical repressilators

AU - Stankevich, N.

AU - Volkov, E.

PY - 2020/4/1

Y1 - 2020/4/1

N2 - The dynamics of three three-dimensional repressilators globally coupled by a quorum sensing mechanism was numerically studied. This number (three) of coupled repressilators is sufficient to obtain such a set of self-consistent oscillation frequencies of signal molecules in the mean field that results in the appearance of self-organized quasiperiodicity and its complex evolution over wide areas of model parameters. Numerically analyzing the invariant curves as a function of coupling strength, we observed torus doubling, three torus arising via quasiperiodic Hopf bifurcation, the emergence of resonant cycles, and secondary Neimark-Sacker bifurcation. A gradual increase in the oscillation amplitude leads to chaotizations of the tori and to the birth of weak, but multidimensional chaos.

AB - The dynamics of three three-dimensional repressilators globally coupled by a quorum sensing mechanism was numerically studied. This number (three) of coupled repressilators is sufficient to obtain such a set of self-consistent oscillation frequencies of signal molecules in the mean field that results in the appearance of self-organized quasiperiodicity and its complex evolution over wide areas of model parameters. Numerically analyzing the invariant curves as a function of coupling strength, we observed torus doubling, three torus arising via quasiperiodic Hopf bifurcation, the emergence of resonant cycles, and secondary Neimark-Sacker bifurcation. A gradual increase in the oscillation amplitude leads to chaotizations of the tori and to the birth of weak, but multidimensional chaos.

UR - http://www.scopus.com/inward/record.url?scp=85083697541&partnerID=8YFLogxK

U2 - 10.1063/1.5140696

DO - 10.1063/1.5140696

M3 - Article

C2 - 32357660

AN - SCOPUS:85083697541

VL - 30

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 4

M1 - 043122

ER -

ID: 86483867