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Visualization of system dynamics using phasegrams
A new tool for visualization and analysis of system dynamics is introduced: the phasegram. Its application is illustrated with both classical nonlinear systems (logistic map and Lorenz system) and with biological voice signals. Phasegrams combine the advantages of sliding-window analysis (such as th...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society
2013
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4043161/ https://www.ncbi.nlm.nih.gov/pubmed/23697715 http://dx.doi.org/10.1098/rsif.2013.0288 |
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author | Herbst, Christian T. Herzel, Hanspeter Švec, Jan G. Wyman, Megan T. Fitch, W. Tecumseh |
author_facet | Herbst, Christian T. Herzel, Hanspeter Švec, Jan G. Wyman, Megan T. Fitch, W. Tecumseh |
author_sort | Herbst, Christian T. |
collection | PubMed |
description | A new tool for visualization and analysis of system dynamics is introduced: the phasegram. Its application is illustrated with both classical nonlinear systems (logistic map and Lorenz system) and with biological voice signals. Phasegrams combine the advantages of sliding-window analysis (such as the spectrogram) with well-established visualization techniques from the domain of nonlinear dynamics. In a phasegram, time is mapped onto the x-axis, and various vibratory regimes, such as periodic oscillation, subharmonics or chaos, are identified within the generated graph by the number and stability of horizontal lines. A phasegram can be interpreted as a bifurcation diagram in time. In contrast to other analysis techniques, it can be automatically constructed from time-series data alone: no additional system parameter needs to be known. Phasegrams show great potential for signal classification and can act as the quantitative basis for further analysis of oscillating systems in many scientific fields, such as physics (particularly acoustics), biology or medicine. |
format | Online Article Text |
id | pubmed-4043161 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | The Royal Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-40431612014-06-25 Visualization of system dynamics using phasegrams Herbst, Christian T. Herzel, Hanspeter Švec, Jan G. Wyman, Megan T. Fitch, W. Tecumseh J R Soc Interface Research Articles A new tool for visualization and analysis of system dynamics is introduced: the phasegram. Its application is illustrated with both classical nonlinear systems (logistic map and Lorenz system) and with biological voice signals. Phasegrams combine the advantages of sliding-window analysis (such as the spectrogram) with well-established visualization techniques from the domain of nonlinear dynamics. In a phasegram, time is mapped onto the x-axis, and various vibratory regimes, such as periodic oscillation, subharmonics or chaos, are identified within the generated graph by the number and stability of horizontal lines. A phasegram can be interpreted as a bifurcation diagram in time. In contrast to other analysis techniques, it can be automatically constructed from time-series data alone: no additional system parameter needs to be known. Phasegrams show great potential for signal classification and can act as the quantitative basis for further analysis of oscillating systems in many scientific fields, such as physics (particularly acoustics), biology or medicine. The Royal Society 2013-08-06 /pmc/articles/PMC4043161/ /pubmed/23697715 http://dx.doi.org/10.1098/rsif.2013.0288 Text en http://creativecommons.org/licenses/by/3.0/ © 2013 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0/, which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Research Articles Herbst, Christian T. Herzel, Hanspeter Švec, Jan G. Wyman, Megan T. Fitch, W. Tecumseh Visualization of system dynamics using phasegrams |
title | Visualization of system dynamics using phasegrams |
title_full | Visualization of system dynamics using phasegrams |
title_fullStr | Visualization of system dynamics using phasegrams |
title_full_unstemmed | Visualization of system dynamics using phasegrams |
title_short | Visualization of system dynamics using phasegrams |
title_sort | visualization of system dynamics using phasegrams |
topic | Research Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4043161/ https://www.ncbi.nlm.nih.gov/pubmed/23697715 http://dx.doi.org/10.1098/rsif.2013.0288 |
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