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
Citation:
Zhuravlev V. F., Van der Pol’s controlled 2D oscillator, Rus. J. Nonlin. Dyn.,
2016, Vol. 12, No. 2,
pp. 211-222
DOI:10.20537/nd1602004