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IssuesArchive of Issues2020-1pp.132-137

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V.Ph. Zhuravlev, "Van der Pol Oscillator. Technical Applications," Mech. Solids. 55 (1), 132-137 (2020)
Year 2020 Volume 55 Number 1 Pages 132-137
DOI 10.3103/S0025654420010203
Title Van der Pol Oscillator. Technical Applications
Author(s) V.Ph. Zhuravlev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, zhurav@ipmnet.ru)
Abstract Van der Pol equations describing self-oscillations in a quasilinear one-dimensional oscillator are generalized to the case when the generating isotropic oscillator has an arbitrary number of degrees of freedom. Two-dimensional (flat) and three-dimensional (spatial) cases are specifically considered. In contrast to the classical problem, in which a given amplitude of oscillations was stabilized, in the general case it is possible to stabilize not only the oscillation energy, but also the area of a flat elliptical trajectory, its orientation in space, the frequency of the oscillatory process, etc.

The technical applications of the respective models are indicated.
Keywords wave solid-state gyroscope, strapdown inertial navigation system
Received 26 December 2017Revised 26 December 2017Accepted 15 January 2018
Link to Fulltext https://link.springer.com/article/10.3103/S0025654420010203
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