Control of Dynamic Hopf Bifurcations

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dc.creatorBerglund, Nils
dc.date1999-03-31
dc.date.accessioned2026-07-07T02:35:42Z
dc.date.available2026-07-07T02:35:42Z
dc.descriptionThe slow passage through a Hopf bifurcation leads to the delayed appearance of large amplitude oscillations. We construct a smooth scalar feedback control which suppresses the delay and causes the system to follow a stable equilibrium branch. This feature can be used to detect in time the loss of stability of an ageing device. As a by-product, we obtain results on the slow passage through a bifurcation with double zero eigenvalue, described by a singularly perturbed cubic Lienard equation.
dc.description25 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/chao-dyn/9904005
dc.identifierhttp://arxiv.org/abs/chao-dyn/9904005
dc.identifierNonlinearity 13:225-248 (2000)
dc.identifierdoi:10.1088/0951-7715/13/1/311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15703
dc.subjectChaotic Dynamics
dc.subjectOptimization and Control
dc.titleControl of Dynamic Hopf Bifurcations
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