Geodesic
Nonlinear oscillations in the clock frequency generator
Sibirskij žurnal industrialʹnoj matematiki, Tome 23 (2020) no. 3, pp. 123-138.

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Under consideration is the mathematical model of a clock frequency generator in which some high-frequency oscillations of a movable electrode are excited by a sequence of concentrated electrostatic pulses; wherein the times of pulse action are coordinated with the oscillations of the movable electrode by analogy with the well-known theory of a trigger clock. The results of studying the mathematical model provide a fairly complete understanding of the properties of the oscillations that are excited in the generator.
Keywords: mathematical model, frequency generator, periodic oscillations, limit cycle, stability, phase plane, boundary value problem, continuation of a solution with respect to a parameter. . 
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S. I. Fadeev. Nonlinear oscillations in the clock frequency generator. Sibirskij žurnal industrialʹnoj matematiki, Tome 23 (2020) no. 3, pp. 123-138. http://geodesic.mathdoc.fr/item/SJIM_2020_23_3_a9/

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