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)
“It may be said that the elegant Swann’s simplicity was but another, more refined form of vanity and that, like other Israelites, my parents’ old friend could present, one by one, the succession of states through which had passed his race, from the most naive snobbishness to the worst coarseness to the finest politeness.”
—Marcel Proust (1871–1922)