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Chronotaxic systems: a simple paradigm to treat time-dependent oscillatory dynamics stable under continuous perturbation

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Chronotaxic systems : a simple paradigm to treat time-dependent oscillatory dynamics stable under continuous perturbation. / Barabash, Miraslau L.; Suprunenko, Yevhen F.; Stefanovska, Aneta.

In: Nonlinear Phenomena in Complex Systems, Vol. 18, No. 3, 12.04.2015, p. 392-400.

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Barabash, Miraslau L. ; Suprunenko, Yevhen F. ; Stefanovska, Aneta. / Chronotaxic systems : a simple paradigm to treat time-dependent oscillatory dynamics stable under continuous perturbation. In: Nonlinear Phenomena in Complex Systems. 2015 ; Vol. 18, No. 3. pp. 392-400.

Bibtex

@article{5aa49bc666b646138f432c294183d377,
title = "Chronotaxic systems: a simple paradigm to treat time-dependent oscillatory dynamics stable under continuous perturbation",
abstract = "The treatment of non-autonomous systems is a challenging task, and one that arises in many branches of physics and science in general. The recently introduced notion of chronotaxic systems provides a new and promising approach to the problem. Chronotaxic dynamics is characterized by a time-dependent point attractor which exists in the timedependent contraction region. Chronotaxic systems are therefore capable of resisting continuous external perturbations while being characterised by complex time-dependent dynamics. The theory of chronotaxic systems, reviewed in this paper, together with corresponding inverse approach methods developed to tackle such systems, makes it possible to identify the underlying deterministic dynamics and to extract it. The resultant reduction of complexity may be useful in various scientific applications, especially in living systems.",
keywords = "Driven systems, Nonautonomous coupled oscillators, Time-dependent oscillatory dynamics",
author = "Barabash, {Miraslau L.} and Suprunenko, {Yevhen F.} and Aneta Stefanovska",
year = "2015",
month = "4",
day = "12",
language = "English",
volume = "18",
pages = "392--400",
journal = "Nonlinear Phenomena in Complex Systems",
issn = "1561-4085",
publisher = "Education and Upbringing Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Chronotaxic systems

T2 - a simple paradigm to treat time-dependent oscillatory dynamics stable under continuous perturbation

AU - Barabash, Miraslau L.

AU - Suprunenko, Yevhen F.

AU - Stefanovska, Aneta

PY - 2015/4/12

Y1 - 2015/4/12

N2 - The treatment of non-autonomous systems is a challenging task, and one that arises in many branches of physics and science in general. The recently introduced notion of chronotaxic systems provides a new and promising approach to the problem. Chronotaxic dynamics is characterized by a time-dependent point attractor which exists in the timedependent contraction region. Chronotaxic systems are therefore capable of resisting continuous external perturbations while being characterised by complex time-dependent dynamics. The theory of chronotaxic systems, reviewed in this paper, together with corresponding inverse approach methods developed to tackle such systems, makes it possible to identify the underlying deterministic dynamics and to extract it. The resultant reduction of complexity may be useful in various scientific applications, especially in living systems.

AB - The treatment of non-autonomous systems is a challenging task, and one that arises in many branches of physics and science in general. The recently introduced notion of chronotaxic systems provides a new and promising approach to the problem. Chronotaxic dynamics is characterized by a time-dependent point attractor which exists in the timedependent contraction region. Chronotaxic systems are therefore capable of resisting continuous external perturbations while being characterised by complex time-dependent dynamics. The theory of chronotaxic systems, reviewed in this paper, together with corresponding inverse approach methods developed to tackle such systems, makes it possible to identify the underlying deterministic dynamics and to extract it. The resultant reduction of complexity may be useful in various scientific applications, especially in living systems.

KW - Driven systems

KW - Nonautonomous coupled oscillators

KW - Time-dependent oscillatory dynamics

M3 - Journal article

AN - SCOPUS:84946832948

VL - 18

SP - 392

EP - 400

JO - Nonlinear Phenomena in Complex Systems

JF - Nonlinear Phenomena in Complex Systems

SN - 1561-4085

IS - 3

ER -