Multiple testing strategy for the detection of temporal irreversibility in stationary time series
- 6 June 2008
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 77 (6), 066204
- https://doi.org/10.1103/physreve.77.066204
Abstract
We propose a strategy for the detection of temporal irreversibility in stationary time series based on multiple bidimensional tests. The test is helpful to evaluate the displacement of irreversibility toward high dimensions. The test can be used independently of the theoretical functionals actually utilized to check irreversibility. The method was applied to simulated nonlinear signals generated by the delayed Henon map and a two-loop negative feedback model to show how the presence of a delay could produce the displacement of irreversibility toward higher dimensions. The method was applied also to series of a biological variable (i.e., heart period) that is known to be regulated by multiple feedback loops. Simulations and real data support the need of exploring progressively increasing embedding dimensions when assessing temporal irreversibility.Keywords
This publication has 20 references indexed in Scilit:
- Interactions between short-term and long-term cardiovascular control mechanismsChaos: An Interdisciplinary Journal of Nonlinear Science, 2007
- Broken Asymmetry of the Human Heartbeat: Loss of Time Irreversibility in Aging and DiseasePhysical Review Letters, 2005
- Chaos in two-loop negative feedback systemsPhysical Review E, 2002
- Surrogate time seriesPhysica D: Nonlinear Phenomena, 2000
- Laws of Nature and Time Symmetry BreakingAnnals of the New York Academy of Sciences, 1999
- Nonlinear analysis of the pharmacological conversion of sustained atrial fibrillation in conscious goats by the class Ic drug cibenzolineChaos: An Interdisciplinary Journal of Nonlinear Science, 1997
- Time reversibility of intracranial human EEG recordings in mesial temporal lobe epilepsyPhysics Letters A, 1996
- Reversibility as a criterion for discriminating time seriesPhysics Letters A, 1995
- Time delays in the human baroreceptor reflexJournal of the Autonomic Nervous System, 1983
- Oscillation and Chaos in Physiological Control SystemsScience, 1977