Geometrical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaos

In the first part of the paper we study the geometrical characteristics of the magnetospheric ions’ time series in the reconstructed phase space by using the SVD extended chaotic analysis, and we test the strong null hypothesis supposing that the ions’ time series is caused by a linear stoch...

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Main Authors:	G. P. Pavlos, M. A. Athanasiu, A. G. Rigas, D. V. Sarafopoulos, E. T. Sarris
Format:	Article
Language:	English
Published:	Copernicus Publications 2003-09-01
Series:	Annales Geophysicae
Online Access:	https://www.ann-geophys.net/21/1975/2003/angeo-21-1975-2003.pdf

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spelling	doaj-551373df2ddf471093032da6b4ece5f62020-11-24T23:39:22ZengCopernicus PublicationsAnnales Geophysicae0992-76891432-05762003-09-01211975199310.5194/angeo-21-1975-2003Geometrical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaosG. P. Pavlos0M. A. Athanasiu1A. G. Rigas2D. V. Sarafopoulos3E. T. Sarris4Department of Electrical and Computer Engineering, Demokritos Univercity of Thrace, 67100 Xanthi, GreeceDepartment of Electrical and Computer Engineering, Demokritos Univercity of Thrace, 67100 Xanthi, GreeceDepartment of Electrical and Computer Engineering, Demokritos Univercity of Thrace, 67100 Xanthi, GreeceDepartment of Electrical and Computer Engineering, Demokritos Univercity of Thrace, 67100 Xanthi, GreeceDepartment of Electrical and Computer Engineering, Demokritos Univercity of Thrace, 67100 Xanthi, GreeceIn the first part of the paper we study the geometrical characteristics of the magnetospheric ions’ time series in the reconstructed phase space by using the SVD extended chaotic analysis, and we test the strong null hypothesis supposing that the ions’ time series is caused by a linear stochastic process perturbed by a static nonlinear distortion. The SVD reconstructed spectrum of the ions’ signal reveals a strong component of high dimensional, external coloured noise, as well as an internal low dimensional nonlinear deterministic component. Also, the stochastic Lorenz system produced by coloured noise perturbation of the deterministic Lorenz system was used as an archetype model in comparison with the dynamics of the magnetrospheric ions.<br><br><b>Key words. </b>Magnetospheric physics (energetic particles) – Radio science (nonlinear phenomena)https://www.ann-geophys.net/21/1975/2003/angeo-21-1975-2003.pdf
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	G. P. Pavlos M. A. Athanasiu A. G. Rigas D. V. Sarafopoulos E. T. Sarris
spellingShingle	G. P. Pavlos M. A. Athanasiu A. G. Rigas D. V. Sarafopoulos E. T. Sarris Geometrical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaos Annales Geophysicae
author_facet	G. P. Pavlos M. A. Athanasiu A. G. Rigas D. V. Sarafopoulos E. T. Sarris
author_sort	G. P. Pavlos
title	Geometrical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaos
title_short	Geometrical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaos
title_full	Geometrical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaos
title_fullStr	Geometrical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaos
title_full_unstemmed	Geometrical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaos
title_sort	geometrical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaos
publisher	Copernicus Publications
series	Annales Geophysicae
issn	0992-7689 1432-0576
publishDate	2003-09-01
description	In the first part of the paper we study the geometrical characteristics of the magnetospheric ions’ time series in the reconstructed phase space by using the SVD extended chaotic analysis, and we test the strong null hypothesis supposing that the ions’ time series is caused by a linear stochastic process perturbed by a static nonlinear distortion. The SVD reconstructed spectrum of the ions’ signal reveals a strong component of high dimensional, external coloured noise, as well as an internal low dimensional nonlinear deterministic component. Also, the stochastic Lorenz system produced by coloured noise perturbation of the deterministic Lorenz system was used as an archetype model in comparison with the dynamics of the magnetrospheric ions.<br><br><b>Key words. </b>Magnetospheric physics (energetic particles) – Radio science (nonlinear phenomena)
url	https://www.ann-geophys.net/21/1975/2003/angeo-21-1975-2003.pdf
work_keys_str_mv	AT gppavlos geometricalcharacteristicsofmagnetosphericenergeticiontimeseriesevidenceforlowdimensionalchaos AT maathanasiu geometricalcharacteristicsofmagnetosphericenergeticiontimeseriesevidenceforlowdimensionalchaos AT agrigas geometricalcharacteristicsofmagnetosphericenergeticiontimeseriesevidenceforlowdimensionalchaos AT dvsarafopoulos geometricalcharacteristicsofmagnetosphericenergeticiontimeseriesevidenceforlowdimensionalchaos AT etsarris geometricalcharacteristicsofmagnetosphericenergeticiontimeseriesevidenceforlowdimensionalchaos
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Geometrical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaos

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