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Time Delay Induced Multistability and Complex Dynamics in an Impulsive Model of Endocrine Regulation
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
2014 (English)In: 2014 European Control Conference (ECC), 2014, 2304-2309 p.Conference paper, Published paper (Refereed)
Abstract [en]

The effects caused by the introduction of a time delay in the continuous part of an impulsive (hybrid) model of endocrine feedback regulation are studied by bifurcation analysis. It is concluded that larger (in some well-defined sense) values of the time delay give rise to a broad range of nonlinear dynamics phenomena that have not been observed for the smaller ones. Among such behaviors are e.g. border-collision bifurcations, bistability, and quasiperiodic solutions. The reason for the more complex dynamics exhibited by the model in this case is a discontinuity of the Jacobian of a discrete mapping describing the propagation of the model dynamics from one firing of the impulsive feedback to another.

Place, publisher, year, edition, pages
2014. 2304-2309 p.
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:uu:diva-250274DOI: 10.1109/ECC.2014.6862218ISI: 000349955702101ISBN: 978-3-9524269-1-3 (print)OAI: oai:DiVA.org:uu-250274DiVA: diva2:806127
Conference
13th European Control Conference (ECC), JUN 24-27, 2014, Strasbourg, FRANCE
Available from: 2015-04-17 Created: 2015-04-13 Last updated: 2015-04-17Bibliographically approved

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Medvedev, Alexander

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