Geodesic
The buffering phenomenon in a~resonance hyperbolic boundary-value problem in radiophysics
Sbornik. Mathematics, Tome 186 (1995) no. 7, pp. 1003-1021

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By the buffering phenomenon we mean the existence of sufficiently many stable cycles in a system of differential equations with distributed coefficients. In systems of parabolic reaction-diffusion equations this interesting phenomenon was first discovered by numerical methods in [1] in which a problem in ecology was studied. It was then explained theoretically in [2] and [3]. The buffering phenomenon is of current interest, for example, in connection with the modelling of memory processes and the creation of memory cells [4]. It is therefore interesting to find simple radiophysical devices with this property. In the present paper we consider a mathematical model of such a device (an $\operatorname{RCLG}$-oscillator) and, with the aid of a suitable modification of the methods developed in [5], we study the problem of existence and stability of its periodic solutions. 
@article{SM_1995_186_7_a5,
     author = {V. F. Kambulov and A. Yu. Kolesov},
     title = {The buffering phenomenon in a~resonance hyperbolic boundary-value problem in radiophysics},
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     publisher = {mathdoc},
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     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_7_a5/}
}
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V. F. Kambulov; A. Yu. Kolesov. The buffering phenomenon in a~resonance hyperbolic boundary-value problem in radiophysics. Sbornik. Mathematics, Tome 186 (1995) no. 7, pp. 1003-1021. http://geodesic.mathdoc.fr/item/SM_1995_186_7_a5/