This article is cited in 4 papers

Original papers

Van der Pol’s controlled 2D oscillator

V. F. Zhuravlev

A.Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, block 1, Moscow, 119526, Russia

Abstract: There are two reasons for 2D auto-oscillations to be of such interest for analysis. Firstly, mechanical systems based on such a model are widely used. Secondly, unlike 1D van der Pol’s oscillator, a 2D model as a mathematical object has much more characteristics: in addition to potential and dissipative forces, more complicated forces can be taken into account, which characterize different specific behaviors of the oscillator.

Keywords: van der Pol’s oscillator.

UDC: 531.539.2

MSC: 70Q05

Received: 28.02.2016
Revised: 28.04.2016

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