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)
“Humility is often only the putting on of a submissiveness by which men hope to bring other people to submit to them; it is a more calculated sort of pride, which debases itself with a design of being exalted; and though this vice transform itself into a thousand several shapes, yet the disguise is never more effectual nor more capable of deceiving the world than when concealed under a form of humility.”
—François, Duc De La Rochefoucauld (1613–1680)