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math.DS2020
Dynamics of the Tyson-Hong-Thron-Novak circadian oscillator model
Shuang Chen, Jinqiao Duan, Ji Li
We study the dynamics of a circadian oscillator model which was proposed by Tyson, Hong, Thron and Novak. This model indicates a molecular mechanism for the circadian rhythm in Dro…
math.DS2019
Effective reduction of a three-dimensional circadian oscillator model
Shuang Chen, Jinqiao Duan, Ji Li
We investigate the dynamics of a three-dimensional system modeling a molecular mechanism for the circadian rhythm in Drosophila. We first prove the existence of a compact attractor…