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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - The inverse approach to chronotaxic systems for single-variable time series
AU - Clemson, Philip
AU - Suprunenko, Yevhen
AU - Stankovski, Tomislav
AU - Stefanovska, Aneta
N1 - Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
PY - 2014/3/10
Y1 - 2014/3/10
N2 - Following the development of a new class of self-sustained oscillators with a time-varying but stable frequency, the inverse approach to these systems is now formulated. We show how observed data arranged in a single-variable time series can be used to recognise such systems. This approach makes use of time-frequency domain information using the wavelet transform as well as the recently-developed method of Bayesian-based inference. In addition, a new set of methods, named phase fluctuation analysis, is introduced to detect the defining properties of the new class of systems by directly analysing the statistics of the observed perturbations. We apply these methods to numerical examples but also elaborate further on the cardiac system.
AB - Following the development of a new class of self-sustained oscillators with a time-varying but stable frequency, the inverse approach to these systems is now formulated. We show how observed data arranged in a single-variable time series can be used to recognise such systems. This approach makes use of time-frequency domain information using the wavelet transform as well as the recently-developed method of Bayesian-based inference. In addition, a new set of methods, named phase fluctuation analysis, is introduced to detect the defining properties of the new class of systems by directly analysing the statistics of the observed perturbations. We apply these methods to numerical examples but also elaborate further on the cardiac system.
U2 - 10.1103/PhysRevE.89.032904
DO - 10.1103/PhysRevE.89.032904
M3 - Journal article
VL - 89
JO - Physical Review E
JF - Physical Review E
SN - 1539-3755
IS - 3
M1 - 032904
ER -