Time Delay Induced Multistability and Complex Dynamics in an Impulsive Model of Endocrine Regulation
2014 (English)In: 2014 European Control Conference (ECC), 2014, 2304-2309 p.Conference paper (Refereed)
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.
IdentifiersURN: urn:nbn:se:uu:diva-250274DOI: 10.1109/ECC.2014.6862218ISI: 000349955702101ISBN: 978-3-9524269-1-3OAI: oai:DiVA.org:uu-250274DiVA: diva2:806127
13th European Control Conference (ECC), JUN 24-27, 2014, Strasbourg, FRANCE