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. . 
@article{SJIM_2020_23_3_a9,
     author = {S. I. Fadeev},
     title = {Nonlinear oscillations in the clock frequency generator},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {123--138},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2020_23_3_a9/}
}
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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/