Dynamical analysis of a biochemical reactor distributed parameter model with time delay

A. K. Drame, D. Dochain, J. J. Winkin

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Abstract

This paper studies a tubular biochemical reactor model with time delay. The dynamics are described by partial functional differential equations. We prove the well-posedness of this system and existence of multiple equilibria. Next, we show the existence of periodic solutions bifurcating from trivial equilibrium profile.

Original languageEnglish
Title of host publication2007 European Control Conference, ECC 2007
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5003-5007
Number of pages5
ISBN (Print)9783952417386
Publication statusPublished - 25 Mar 2015
Event2007 9th European Control Conference, ECC 2007 - Kos, Greece
Duration: 2 Jul 20075 Jul 2007

Conference

Conference2007 9th European Control Conference, ECC 2007
CountryGreece
CityKos
Period2/07/075/07/07

Fingerprint

Time delay
Differential equations

Cite this

Drame, A. K., Dochain, D., & Winkin, J. J. (2015). Dynamical analysis of a biochemical reactor distributed parameter model with time delay. In 2007 European Control Conference, ECC 2007 (pp. 5003-5007). [7069030] Institute of Electrical and Electronics Engineers Inc..
Drame, A. K. ; Dochain, D. ; Winkin, J. J. / Dynamical analysis of a biochemical reactor distributed parameter model with time delay. 2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 5003-5007
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Drame, AK, Dochain, D & Winkin, JJ 2015, Dynamical analysis of a biochemical reactor distributed parameter model with time delay. in 2007 European Control Conference, ECC 2007., 7069030, Institute of Electrical and Electronics Engineers Inc., pp. 5003-5007, 2007 9th European Control Conference, ECC 2007, Kos, Greece, 2/07/07.

Dynamical analysis of a biochemical reactor distributed parameter model with time delay. / Drame, A. K.; Dochain, D.; Winkin, J. J.

2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc., 2015. p. 5003-5007 7069030.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

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T1 - Dynamical analysis of a biochemical reactor distributed parameter model with time delay

AU - Drame, A. K.

AU - Dochain, D.

AU - Winkin, J. J.

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N2 - This paper studies a tubular biochemical reactor model with time delay. The dynamics are described by partial functional differential equations. We prove the well-posedness of this system and existence of multiple equilibria. Next, we show the existence of periodic solutions bifurcating from trivial equilibrium profile.

AB - This paper studies a tubular biochemical reactor model with time delay. The dynamics are described by partial functional differential equations. We prove the well-posedness of this system and existence of multiple equilibria. Next, we show the existence of periodic solutions bifurcating from trivial equilibrium profile.

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Drame AK, Dochain D, Winkin JJ. Dynamical analysis of a biochemical reactor distributed parameter model with time delay. In 2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc. 2015. p. 5003-5007. 7069030