PI-controlled bioreactor as a generalized Lienard system

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dc.creatorIbarra-Junquera, V.
dc.creatorRosu, H. C.
dc.date2005-02-21
dc.date2006-06-04
dc.date.accessioned2026-07-07T07:42:23Z
dc.date.available2026-07-07T07:42:23Z
dc.descriptionIt is shown that periodic orbits can occur in Cholette's bioreactor model working under the influence of a PI-controller. We find a diffeomorphic coordinate transformation that turns this controlled enzymatic reaction system into a generalized Lienard form. Furthermore, we give sufficient conditions for the existence and uniqueness of limit cycles in the new coordinates. We also perform numerical simulations illustrating the possibility of the existence of a local center (period annulus). A result with possible practical applications is that the oscillation frequency is a function of the integral control gain parameter
dc.description15 pages, 5 figures, accepted version at Computers & Chem. Eng
dc.identifierhttps://arxiv.org/abs/nlin/0502049
dc.identifierhttp://arxiv.org/abs/nlin/0502049
dc.identifierComputers and Chem. Eng. 31 (2007) 136-141
dc.identifierdoi:10.1016/j.compchemeng.2006.05.023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122427
dc.subjectChaotic Dynamics
dc.titlePI-controlled bioreactor as a generalized Lienard system
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