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Introduction to chronotaxic systems – systems far from thermodynamics equilibrium that adjust their clocks. /
Stefanovska, Aneta; Clemson, Philip T.; Suprunenko, Yevhen F.
Selforganization in Complex Systems: The Past, Present, and Future of Synergetics: Proceedings of the International Symposium, Hanse Institute of Advanced Studies, Delmenhorst, Germany, November 13-16, 2012. Springer, 2016. p. 227-246 (Understanding Complex Systems).
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review
Harvard
Stefanovska, A, Clemson, PT & Suprunenko, YF 2016,
Introduction to chronotaxic systems – systems far from thermodynamics equilibrium that adjust their clocks. in
Selforganization in Complex Systems: The Past, Present, and Future of Synergetics: Proceedings of the International Symposium, Hanse Institute of Advanced Studies, Delmenhorst, Germany, November 13-16, 2012. Understanding Complex Systems, Springer, pp. 227-246.
https://doi.org/10.1007/978-3-319-27635-9_14
APA
Stefanovska, A., Clemson, P. T., & Suprunenko, Y. F. (2016).
Introduction to chronotaxic systems – systems far from thermodynamics equilibrium that adjust their clocks. In
Selforganization in Complex Systems: The Past, Present, and Future of Synergetics: Proceedings of the International Symposium, Hanse Institute of Advanced Studies, Delmenhorst, Germany, November 13-16, 2012 (pp. 227-246). (Understanding Complex Systems). Springer.
https://doi.org/10.1007/978-3-319-27635-9_14
Vancouver
Author
Stefanovska, Aneta ; Clemson, Philip T. ; Suprunenko, Yevhen F. /
Introduction to chronotaxic systems – systems far from thermodynamics equilibrium that adjust their clocks. Selforganization in Complex Systems: The Past, Present, and Future of Synergetics: Proceedings of the International Symposium, Hanse Institute of Advanced Studies, Delmenhorst, Germany, November 13-16, 2012. Springer, 2016. pp. 227-246 (Understanding Complex Systems).
Bibtex
@inproceedings{6d20551358714b3f911bad711682f588,
title = "Introduction to chronotaxic systems – systems far from thermodynamics equilibrium that adjust their clocks",
abstract = "The complex, fluctuating dynamics that abounds in nature is now easily monitored and analysed, applying either stochastic or deterministic methods. It has been demonstrated that complex systems far from thermodynamic equilibrium, especially living systems, often exhibit time-varying dynamics. To date they have been usually treated as stochastic. Here we focus on the non-autonomous properties of complex systems and propose a new class of dynamical systems. Namely, we assume that a basic dynamical unit which inherently possesses an internal source of energy, is continuously perturbed by the environment and maintains its stability by adjusting the rate of exchange of energy and matter with the environment. We provide a mathematical formalism for such systems, combining the recent theory of pullback attractors with the theory of self-sustained oscillators. We name the new class of systems as chronotaxic and, based on measured data, show that the heart possesses properties characteristic of chronotaxic systems. This means that its dynamics is largely deterministic, which opens new possibilities for diagnosis and prediction. We expect that many complex systems will be identified as chronotaxic and that their models will become much simpler and more realistic.",
keywords = "Biological oscillations, Chronotaxic systems, Coupled oscillators, Non-autonomous systems, Time-varying dynamics",
author = "Aneta Stefanovska and Clemson, {Philip T.} and Suprunenko, {Yevhen F.}",
year = "2016",
month = jan,
day = "1",
doi = "10.1007/978-3-319-27635-9_14",
language = "English",
isbn = "9783319276335",
series = "Understanding Complex Systems",
publisher = "Springer",
pages = "227--246",
booktitle = "Selforganization in Complex Systems: The Past, Present, and Future of Synergetics",
}
RIS
TY - GEN
T1 - Introduction to chronotaxic systems – systems far from thermodynamics equilibrium that adjust their clocks
AU - Stefanovska, Aneta
AU - Clemson, Philip T.
AU - Suprunenko, Yevhen F.
PY - 2016/1/1
Y1 - 2016/1/1
N2 - The complex, fluctuating dynamics that abounds in nature is now easily monitored and analysed, applying either stochastic or deterministic methods. It has been demonstrated that complex systems far from thermodynamic equilibrium, especially living systems, often exhibit time-varying dynamics. To date they have been usually treated as stochastic. Here we focus on the non-autonomous properties of complex systems and propose a new class of dynamical systems. Namely, we assume that a basic dynamical unit which inherently possesses an internal source of energy, is continuously perturbed by the environment and maintains its stability by adjusting the rate of exchange of energy and matter with the environment. We provide a mathematical formalism for such systems, combining the recent theory of pullback attractors with the theory of self-sustained oscillators. We name the new class of systems as chronotaxic and, based on measured data, show that the heart possesses properties characteristic of chronotaxic systems. This means that its dynamics is largely deterministic, which opens new possibilities for diagnosis and prediction. We expect that many complex systems will be identified as chronotaxic and that their models will become much simpler and more realistic.
AB - The complex, fluctuating dynamics that abounds in nature is now easily monitored and analysed, applying either stochastic or deterministic methods. It has been demonstrated that complex systems far from thermodynamic equilibrium, especially living systems, often exhibit time-varying dynamics. To date they have been usually treated as stochastic. Here we focus on the non-autonomous properties of complex systems and propose a new class of dynamical systems. Namely, we assume that a basic dynamical unit which inherently possesses an internal source of energy, is continuously perturbed by the environment and maintains its stability by adjusting the rate of exchange of energy and matter with the environment. We provide a mathematical formalism for such systems, combining the recent theory of pullback attractors with the theory of self-sustained oscillators. We name the new class of systems as chronotaxic and, based on measured data, show that the heart possesses properties characteristic of chronotaxic systems. This means that its dynamics is largely deterministic, which opens new possibilities for diagnosis and prediction. We expect that many complex systems will be identified as chronotaxic and that their models will become much simpler and more realistic.
KW - Biological oscillations
KW - Chronotaxic systems
KW - Coupled oscillators
KW - Non-autonomous systems
KW - Time-varying dynamics
U2 - 10.1007/978-3-319-27635-9_14
DO - 10.1007/978-3-319-27635-9_14
M3 - Conference contribution/Paper
AN - SCOPUS:85028295410
SN - 9783319276335
T3 - Understanding Complex Systems
SP - 227
EP - 246
BT - Selforganization in Complex Systems: The Past, Present, and Future of Synergetics
PB - Springer
ER -
