Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Chaos-hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators. / Stankevich, N.; Volkov, E.
в: Chaos, Том 31, № 10, 103112, 01.10.2021.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Chaos-hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators
AU - Stankevich, N.
AU - Volkov, E.
N1 - Publisher Copyright: © 2021 Author(s).
PY - 2021/10/1
Y1 - 2021/10/1
N2 - We investigate the dynamics of three identical three-dimensional ring synthetic genetic oscillators (repressilators) located in different cells and indirectly globally coupled by quorum sensing whereby it is meant that a mechanism in which special signal molecules are produced that, after the fast diffusion mixing and partial dilution in the environment, activate the expression of a target gene, which is different from the gene responsible for their production. Even at low coupling strengths, quorum sensing stimulates the formation of a stable limit cycle, known in the literature as a rotating wave (all variables have identical waveforms shifted by one third of the period), which, at higher coupling strengths, converts to complex tori. Further torus evolution is traced up to its destruction to chaos and the appearance of hyperchaos. We hypothesize that hyperchaos is the result of merging the saddle-focus periodic orbit (or limit cycle) corresponding to the rotating wave regime with chaos and present considerations in favor of this conclusion.
AB - We investigate the dynamics of three identical three-dimensional ring synthetic genetic oscillators (repressilators) located in different cells and indirectly globally coupled by quorum sensing whereby it is meant that a mechanism in which special signal molecules are produced that, after the fast diffusion mixing and partial dilution in the environment, activate the expression of a target gene, which is different from the gene responsible for their production. Even at low coupling strengths, quorum sensing stimulates the formation of a stable limit cycle, known in the literature as a rotating wave (all variables have identical waveforms shifted by one third of the period), which, at higher coupling strengths, converts to complex tori. Further torus evolution is traced up to its destruction to chaos and the appearance of hyperchaos. We hypothesize that hyperchaos is the result of merging the saddle-focus periodic orbit (or limit cycle) corresponding to the rotating wave regime with chaos and present considerations in favor of this conclusion.
KW - RELAXATION-OSCILLATORS
KW - MULTISTABILITY
KW - BIFURCATIONS
KW - ATTRACTORS
KW - MODEL
UR - http://www.scopus.com/inward/record.url?scp=85117101926&partnerID=8YFLogxK
U2 - 10.1063/5.0056907
DO - 10.1063/5.0056907
M3 - Article
AN - SCOPUS:85117101926
VL - 31
JO - Chaos
JF - Chaos
SN - 1054-1500
IS - 10
M1 - 103112
ER -
ID: 89228889