• Open Access

Decomposing Spectral and Phasic Differences in Nonlinear Features between Datasets

Pedro A. M. Mediano, Fernando E. Rosas, Adam B. Barrett, and Daniel Bor
Phys. Rev. Lett. 127, 124101 – Published 17 September 2021
PDFHTMLExport Citation

Abstract

When employing nonlinear methods to characterize complex systems, it is important to determine to what extent they are capturing genuine nonlinear phenomena that could not be assessed by simpler spectral methods. Specifically, we are concerned with the problem of quantifying spectral and phasic effects on an observed difference in a nonlinear feature between two systems (or two states of the same system). Here we derive, from a sequence of null models, a decomposition of the difference in an observable into spectral, phasic, and spectrum-phase interaction components. Our approach makes no assumptions about the structure of the data and adds nuance to a wide range of time series analyses.

  • Figure
  • Received 13 February 2020
  • Revised 17 May 2021
  • Accepted 15 July 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.124101

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

Pedro A. M. Mediano1,*, Fernando E. Rosas2,3,4,†, Adam B. Barrett5,‡, and Daniel Bor1,‡

  • 1Department of Psychology, University of Cambridge, Cambridge CB2 3EB, United Kingdom
  • 2Centre for Psychedelic Research, Department of Medicine, Imperial College London, London SW7 2DD, United Kingdom
  • 3Data Science Institute, Imperial College London, London SW7 2AZ, United Kingdom
  • 4Centre for Complexity Science, Imperial College London, London SW7 2AZ, United Kingdom
  • 5Sackler Centre for Consciousness Science, Department of Informatics, University of Sussex, Brighton BN1 9RH, United Kingdom

  • *pam83@cam.ac.uk
  • f.rosas@imperial.ac.uk
  • A. B. B. and D. B. are joint senior authors.

Article Text

Click to Expand

Supplemental Material

Click to Expand

References

Click to Expand
Issue

Vol. 127, Iss. 12 — 17 September 2021

Reuse & Permissions
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

×

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×