Geodesic
Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 2, pp. 213-236 Cet article a éte moissonné depuis la source Math-Net.Ru

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The relaxation self-oscillations of the Mackey–Glass equation are studied under the assumption that the exponent in the nonlinearity denominator is a large parameter. We consider the case where the limit relay equation, which arises as the large parameter tends to infinity, has a periodic solution with the smallest number of breaking points on the period. In this case, we prove the existence of a periodic solution of the Mackey–Glass equation that is asymptotically close to the periodic solution of the limit equation.
Keywords: Mackey–Glass equation, asymptotics, periodic solution, delay differential equation, large parameter. 
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V. V. Alekseev; M. M. Preobrazhenskaia. Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 2, pp. 213-236. http://geodesic.mathdoc.fr/item/TMF_2024_220_2_a0/

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