What is a Liénard system?
We define is called a Liénard system . which belongs to Abel equation of the second kind. is a Liénard equation. The solution of a Van der Pol oscillator has a limit cycle. Such cycle has a solution of a Liénard equation with negative otherwise. The Van der Pol equation has no exact, analytic solution. Such solution for a limit cycle exists if
What is the Liénard equation?
Liénard equation. In mathematics, more specifically in the study of dynamical systems and differential equations, a Liénard equation is a second order differential equation, named after the French physicist Alfred-Marie Liénard.
What is Liénard’s theorem used for?
During the development of radio and vacuum tube technology, Liénard equations were intensely studied as they can be used to model oscillating circuits. Under certain additional assumptions Liénard’s theorem guarantees the uniqueness and existence of a limit cycle for such a system.
