Center manifold analysis of the delayed Liénard equation | IEEE Conference Publication | IEEE Xplore

Center manifold analysis of the delayed Liénard equation


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 th...Show More

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.
Date of Conference: 23-26 August 2009
Date Added to IEEE Xplore: 02 April 2015
Print ISBN:978-3-9524173-9-3
Conference Location: Budapest, Hungary

References

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