Geodesic
Existence and Stability of the Relaxation Cycle in a Mathematical Repressilator Model
Matematičeskie zametki, Tome 101 (2017) no. 1, pp. 58-76

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The three-dimensional nonlinear system of ordinary differential equations modeling the functioning of the simplest oscillatory genetic network, the so-called repressilator, is considered. The existence, asymptotics, and stability of the relaxation periodic motion in this system are studied.
Keywords: repressilator, genetic oscillator, relaxation cycle, stability, asymptotics. 
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     author = {S. D. Glyzin and A. Yu. Kolesov and N. Kh. Rozov},
     title = {Existence and {Stability} of the {Relaxation} {Cycle} in a {Mathematical} {Repressilator} {Model}},
     journal = {Matemati\v{c}eskie zametki},
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     language = {ru},
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S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. Existence and Stability of the Relaxation Cycle in a Mathematical Repressilator Model. Matematičeskie zametki, Tome 101 (2017) no. 1, pp. 58-76. http://geodesic.mathdoc.fr/item/MZM_2017_101_1_a4/