Smoothing the discontinuous~oscillations in the mathematical model of an oscillator with distributed parameters
Izvestiya. Mathematics , Tome 70 (2006) no. 6, pp. 1201-1224

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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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     author = {A. Yu. Kolesov and N. Kh. Rozov},
     title = {Smoothing the discontinuous~oscillations in the mathematical model of an oscillator with distributed parameters},
     journal = {Izvestiya. Mathematics },
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2006_70_6_a4/}
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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/