Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427172 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 25 Pages |
Abstract
In this paper, the van der Pol equation with a time delay is considered, where the time delay is regarded as a parameter. It is found that Hopf bifurcation occurs when this delay passes through a sequence of critical value. A formula for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions is given by using the normal form method and center manifold theorem.
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Authors
Wenwu Yu, Jinde Cao,