Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Delay-induced dynamical phenomena in impulsive Goodwin's oscillator : What we know so far. / Churilov, Alexander N.; Medvedev, Alexander; Zhusubaliyev, Zhanybai T.
54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. стр. 590-595 7402293 (Proceedings of the IEEE Conference on Decision and Control; Том 54rd IEEE Conference on Decision and Control,CDC 2015).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
}
TY - GEN
T1 - Delay-induced dynamical phenomena in impulsive Goodwin's oscillator
T2 - 54th IEEE Conference on Decision and Control, CDC 2015
AU - Churilov, Alexander N.
AU - Medvedev, Alexander
AU - Zhusubaliyev, Zhanybai T.
PY - 2015/2/8
Y1 - 2015/2/8
N2 - Impulsive Goodwin's oscillator model is introduced to capture the dynamics of sustained periodic processes in endocrine systems controlled by episodic pulses of hormones. The model is hybrid and comprises a continuous subsystem describing the hormone concentrations operating under a discrete pulse-modulated feedback implemented by firing neurons. Time delays appear in mathematical models of endocrine systems due to the significant transport phenomena but also because of the time necessary to produce releasable hormone quantities. From a biological point of view, the neural control should be robust against the time delay to ensure the loop functionality over a wide range of inter-individual variability. The paper provides an overview of the currently available results and contributes a generalization of a Poincaré mapping approach to study complex dynamics of impulsive Goodwin oscillator. Both pointwise and distributed time delays are considered in a general framework based on the Poincaré mapping. Bifurcation analysis is utilized to illustrate the analytical results.
AB - Impulsive Goodwin's oscillator model is introduced to capture the dynamics of sustained periodic processes in endocrine systems controlled by episodic pulses of hormones. The model is hybrid and comprises a continuous subsystem describing the hormone concentrations operating under a discrete pulse-modulated feedback implemented by firing neurons. Time delays appear in mathematical models of endocrine systems due to the significant transport phenomena but also because of the time necessary to produce releasable hormone quantities. From a biological point of view, the neural control should be robust against the time delay to ensure the loop functionality over a wide range of inter-individual variability. The paper provides an overview of the currently available results and contributes a generalization of a Poincaré mapping approach to study complex dynamics of impulsive Goodwin oscillator. Both pointwise and distributed time delays are considered in a general framework based on the Poincaré mapping. Bifurcation analysis is utilized to illustrate the analytical results.
UR - http://www.scopus.com/inward/record.url?scp=84962028176&partnerID=8YFLogxK
U2 - 10.1109/CDC.2015.7402293
DO - 10.1109/CDC.2015.7402293
M3 - Conference contribution
AN - SCOPUS:84962028176
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 590
EP - 595
BT - 54rd IEEE Conference on Decision and Control,CDC 2015
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 15 December 2015 through 18 December 2015
ER -
ID: 41069621