Non-Uniqueness of Cycles in Piecewise-Linear Models of Circular Gene Networks

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование


We find conditions for existence of two cycles for a five-dimensional piecewise-lineardynamical system that models functioning of a circular gene network. Conditions for existence ofa cycle were obtained by the authors earlier. The phase portrait of a system is divided intosubdomains (or blocks). With the use of such a discretization, we construct a combinatorialscheme for passages of trajectories between blocks. For the second cycle, we show that sucha scheme depends on the parameters of a system.

Язык оригиналаанглийский
ЖурналSiberian Advances in Mathematics
Номер выпуска1
СостояниеОпубликовано - фев 2021

Предметные области OECD FOS+WOS


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