Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837861 | Nonlinear Analysis: Real World Applications | 2011 | 4 Pages |
Abstract
Applying a new result for studying the periodic orbits of a differential system via the averaging theory, we provide the first analytic proof of the existence of a Hopf-zero bifurcation for the Michelson system ẋ=y,ẏ=z,ż=c2−y−x22, at c=0c=0. Moreover our method estimates the shape of this periodic orbit as a function of c>0c>0, sufficiently small.
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Authors
Jaume Llibre, Xiang Zhang,