Van der Pol oscillator Scholarpedia. Therefore, the dynamics of the system is expected to be restricted in some area around the fixed point. Actually, the van der Pol system 1 satisfies the Liénard's' theorem ensuring that there is a stable limit cycle in the phase space The van der Pol system is therefore a Liénard system. |

Liénard equation Wikipedia. Under certain additional assumptions Liénard's' theorem guarantees the uniqueness and existence of a limit cycle for such a system. 2 Liénard system. 4 Liénard's' theorem. 5 See also. 7 External links. Let f and g be two continuously differentiable functions on R, with g an odd function and f an even function. |

Periodic solutions of Liénard's' equation ScienceDirect. ScienceDirect. Sign in Register. Download full issue. Journal of Mathematical Analysis and Applications. Volume 86, Issue 2, April 1982, Pages 379-386. Periodic solutions of Liénard's' equation. Author links open overlay panel Gabriele Villari. Add to Mendeley. https//doi.org/10.1016/0022-247X8290229-3: Get rights and content. |

LIÉNARD SYSTEMS. The equation can be written as the planar system. Under certain conditions on f and g it can be shown that Liénard's' equation has a limit cycle. This result is known as Liénard's' Theorem. Theorem Liénard's' Theorem. Suppose that f and g satisfy the conditions. |