Title :
Center manifold analysis of the delayed Liénard equation
Author :
Siming Zhao ; Kalmar-Nagy, Tamas
Author_Institution :
Dept. of Aerosp. Eng., Texas A&M Univ., College Station, TX, USA
Abstract :
We show the existence of Hopf bifurcation in the delayed Liénard equation. The criterion for the criticality of the Hopf bifurcation is given based on the reduction of the infinite-dimensional problem onto a two-dimensional center manifold. Numerics are provided to verify our theoretical calculation. Application of this technique is discussed via a delayed Liénard oscillator.
Keywords :
bifurcation; delays; numerical analysis; Hopf bifurcation; center manifold analysis; delayed Lienard equation; delayed Lienard oscillator; infinite-dimensional problem; two-dimensional center manifold; Bifurcation; Delays; Manifolds; Mathematical model; Stability analysis; Vibrations;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
