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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. p. 590-595 7402293 (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Churilov, AN, Medvedev, A & Zhusubaliyev, ZT 2015, Delay-induced dynamical phenomena in impulsive Goodwin's oscillator: What we know so far. in 54rd IEEE Conference on Decision and Control,CDC 2015., 7402293, Proceedings of the IEEE Conference on Decision and Control, vol. 54rd IEEE Conference on Decision and Control,CDC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 590-595, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 15/12/15. https://doi.org/10.1109/CDC.2015.7402293

APA

Churilov, A. N., Medvedev, A., & Zhusubaliyev, Z. T. (2015). Delay-induced dynamical phenomena in impulsive Goodwin's oscillator: What we know so far. In 54rd IEEE Conference on Decision and Control,CDC 2015 (pp. 590-595). [7402293] (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7402293

Vancouver

Churilov AN, Medvedev A, Zhusubaliyev ZT. Delay-induced dynamical phenomena in impulsive Goodwin's oscillator: What we know so far. In 54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 590-595. 7402293. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2015.7402293

Author

Churilov, Alexander N. ; Medvedev, Alexander ; Zhusubaliyev, Zhanybai T. / Delay-induced dynamical phenomena in impulsive Goodwin's oscillator : What we know so far. 54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 590-595 (Proceedings of the IEEE Conference on Decision and Control).

BibTeX

@inproceedings{2378540c6c074a52a524a1c870632547,
title = "Delay-induced dynamical phenomena in impulsive Goodwin's oscillator: What we know so far",
abstract = "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 Poincar{\'e} 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 Poincar{\'e} mapping. Bifurcation analysis is utilized to illustrate the analytical results.",
author = "Churilov, {Alexander N.} and Alexander Medvedev and Zhusubaliyev, {Zhanybai T.}",
year = "2015",
month = feb,
day = "8",
doi = "10.1109/CDC.2015.7402293",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "590--595",
booktitle = "54rd IEEE Conference on Decision and Control,CDC 2015",
address = "United States",
note = "54th IEEE Conference on Decision and Control, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",

}

RIS

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