Year: 2014
Type: Article
Title: Inverse approach to chronotaxic systems for single-variable time series
Author: Clemson, Philip T
Author: Suprunenko, Yevhen F
Author: Stankovski, Tomislav
Author: Stefanovska, Aneta
Abstract: 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 recognize 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 set of methods, named phase fluctuation analysis, is introduced to detect the defining properties of the new class of systems by directly analyzing the statistics of the observed perturbations.We apply these methods to numerical examples but also elaborate further on the cardiac system.
Publisher:
Relation: Physical review. E, Statistical, nonlinear, and soft matter physics
Identifier: oai:repository.ukim.mk:20.500.12188/1460
Identifier: http://hdl.handle.net/20.500.12188/1460Identifier: 10.1103/PhysRevE.89.032904
Identifier: 89
Identifier: 3
