Two Dimensional Form
Liénard's Theorem can be used to prove that the system has a limit cycle. Applying the Liénard transformation, where the dot indicates the time derivative, the Van der Pol oscillator can be written in its two dimensional form:
Another commonly used form based on the transformation is leading to
Read more about this topic: Van Der Pol Oscillator
Famous quotes containing the words dimensional and/or form:
“I don’t see black people as victims even though we are exploited. Victims are flat, one- dimensional characters, someone rolled over by a steamroller so you have a cardboard person. We are far more resilient and more rounded than that. I will go on showing there’s more to us than our being victimized. Victims are dead.”
—Kristin Hunter (b. 1931)
“The detective novel is the art-for-art’s-sake of our yawning Philistinism, the classic example of a specialized form of art removed from contact with the life it pretends to build on.”
—V.S. (Victor Sawdon)