Critical slowing down at a bifurcation

Critical slowing down near a bifurcation or limit point leads to a dynamical hysteresis that cannot be avoided by sweeping a control parameter slowly through the critical point. This paper analytically illustrates, with the help of a simple model, the bifurcation shift. We describe an inexpensive ex...

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Bibliographic Details
Published in:American journal of physics 2004-06, Vol.72 (6), p.799-809
Main Authors: Tredicce, J. R., Lippi, G. L., Mandel, Paul, Charasse, B., Chevalier, A., Picqué, B.
Format: Article
Language:English
Subjects:
Optics
Parameter optimization
Physics
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Summary:Critical slowing down near a bifurcation or limit point leads to a dynamical hysteresis that cannot be avoided by sweeping a control parameter slowly through the critical point. This paper analytically illustrates, with the help of a simple model, the bifurcation shift. We describe an inexpensive experiment using a semiconductor laser where this phenomenon occurs near the threshold of a semiconductor laser.
ISSN:0002-9505
1943-2909
DOI:10.1119/1.1688783