On a Numerical Model of a Circadian Oscillator

A. A Akinshin,N. B Ayupova,V. P Golubyatnikov,N. E Kirillova,O. A Podkolodnaya,N. L Podkolodnyy

Numerical Analysis and Applications（2022）

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摘要

For a model of a circadian oscillator presented in the form of a 6-dimensional nonlinear dynamical system, conditions of uniqueness of an equilibrium point and conditions of existence of a periodic trajectory (cycle) are established. A client-server application is developed to perform numerical experiments with this model on a cloud server and to visualize the results of these experiments.

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关键词

nonlinear dynamical system,phase portrait,hyperbolic equilibrium point,linearization matrix,periodic trajectory,cycle,mathematical model,circadian oscillator

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