Van der Pol oscillation

This example shows the simulation of a Van der Pol oscillation using

QFIRE Studio

.

Introduction

The Van der Pol oscillation is a non-conservative oscillator with non-linear damping. It is described by the following differential equation:

d2xdt2μ(1x2)dxdt+x=0\frac{\mathrm{d} ^2x}{\mathrm{d} t^2}-\mu (1-x^2)\frac{\mathrm{d} x}{\mathrm{d} t}+x=0
Simulation

In

QFIRE Studio

 the system was modelled as in Figure 1.

Figure 1 - Van der Pol oscillation diagram

The Integrator 1, in Figure 2, has its initial value set as 1. It is necessary for the correct operation of the system.

Figure 2 - Rescaling the signals

The results of this system are shown in Figure 3. It is important to emphasize that there is a transitory phase that lasts about 30 seconds.

Figure 3 - Two signals of the Van der Pol oscillation

About MWF

MWF is a traditional Brazilian company that provides a wide range of electronic and mechatronic products for industry sectors such as automotive, agricultural machinery and aerospace.

Contact Us

Rua Doutor Siqueira, 139 / Sala 804 Campos dos Goytacazes - RJ, Brasil

contact@mwf-technologies.com

© 2018-2026 MWF. All rights reserved.