Evolution of quasiperiodicity in quorum-sensing coupled identical repressilators
| Autor: | Nataliya Stankevich, Evgeny Volkov |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Hopf bifurcation
Physics Oscillation Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Torus 01 natural sciences 010305 fluids & plasmas Quasiperiodicity symbols.namesake Three-torus Quasiperiodic function 0103 physical sciences symbols Statistical physics Invariant (mathematics) 010306 general physics Mathematical Physics Bifurcation |
| Zdroj: | Chaos: An Interdisciplinary Journal of Nonlinear Science. 30:043122 |
| ISSN: | 1089-7682 1054-1500 |
| DOI: | 10.1063/1.5140696 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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