packageVanDerPol

van der Pol oscillator

Extends from Modelica.Icons.ExamplesPackage (Icon for packages containing runnable examples).

Information

Wikipedia: Van der Pol oscillator

Balthasar van der Pol reported 1927 strange phenomena about oscillations in a series resonance circuit containing a vacuum electron triode. Due to the nonlinear characteristic of the triode the autonomous circuit is able to maintain periodic oscillations, and with harmonic excitation it is able to produce chaos.

Note: For A = 0 autonomous periodic solutions are obtained.
For A = 1.0 forced periodic solutions are obtained.
For A = 0.45 forced chaotic solutions are obtained.

References:

Contents

NameDescription
PhysicalModelvan der Pol equations
AnalyticEquationsvan der Pol equations
AlternativeEquationsvan der Pol equations
ScaledBlocksvan der Pol equations
IdealCircuitvan der Pol equations
ImprovedCircuitvan der Pol equations