Geodesic
Discrete traveling waves in a~relay system of Mackey--Glass equations with two delays
Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 3, pp. 489-504

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We propose a model of a ring circuit of $m$ generators that is a relay analog of a circuit of Mackey–Glass generators. In this model, each of the generators is described by the limit Mackey–Glass equation. For this relay system, we prove the existence of a periodic solution of discrete traveling wave type, i.e., a solution all of whose $m$ components (describing the $m$ generators) are represented by the same periodic function phase-shifted with respect to one another.
Keywords: system of differential–difference equations, Mackey–Glass equation, Mackey–Glass-type generator, discrete traveling wave, Poincaré operator. 
@article{TMF_2021_207_3_a9,
     author = {M. M. Preobrazhenskaya},
     title = {Discrete traveling waves in a~relay system of {Mackey--Glass} equations with two delays},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {489--504},
     publisher = {mathdoc},
     volume = {207},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_207_3_a9/}
}
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M. M. Preobrazhenskaya. Discrete traveling waves in a~relay system of Mackey--Glass equations with two delays. Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 3, pp. 489-504. http://geodesic.mathdoc.fr/item/TMF_2021_207_3_a9/