Geodesic
Smoothing the discontinuous oscillations in the mathematical model of an oscillator with distributed parameters
Izvestiya. Mathematics, Tome 70 (2006) no. 6, pp. 1201-1224 
A. Yu. Kolesov; N. Kh. Rozov. Smoothing the discontinuous oscillations in the mathematical model of an oscillator with distributed parameters. Izvestiya. Mathematics, Tome 70 (2006) no. 6, pp. 1201-1224. http://geodesic.mathdoc.fr/item/IM2_2006_70_6_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We suggest a method of smoothing the discontinuous oscillations in mathematical models of oscillators with a long line segment in the feedback circuit. We show that under certain conditions the buffer phenomenon is realized in the corresponding boundary-value problem, that is, this problem can have a finite number of stable cycles (time-periodic solutions) as large as desired.

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