Analyzing the variation of embedding dimension of solar and geomagnetic activity indices during geomagnetic storm time

Cyclic solar activity as one of the natural chaotic phenomena has significant effects on Earth, climate, and satellites. Rapid changes in the near-Earth space environment can affect the performance and reliability of both spacecraft and ground-based systems. This can imply major problems due to communication and satellite operational anomalies. Therefore, it is meaningful to analyze solar activity and geomagnetic indices to elicit the behavior of sun as the origin of most of these chaotic phenomena. One of the most important tools for analyzing the chaotic trends is the “Embedding Dimension” (ED). In this paper, the variation of ED for solar activity indices especially during storm time for two well-known storms is considered. The first storm is the super-storm on 13 March 1989, which shuts down the power supply system in Québec, Canada and the second one is the storm caused by Coronal Mass Ejection on 11 January 1997 which causes the failure of Telstar 401 satellite. The method of this paper is based on the fact that the reconstructed dynamics of an attractor should be a smooth map, i.e. with no self intersection in the reconstructed attractor. It is shown that the Embedding Dimension (and other chaotic characteristics) of some solar and geomagnetic activity indices during these storms varies rapidly.

• Publication year

  2009

• Venue

  Earth, Planets and Space

• Publication date

  2009-02-18

• Fields of study

  Geology, Physics, Environmental Science

• Identifiers
  DOI 10.1186/BF03352904
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• MODEL BASED METHOD FOR DETERMINING THE MINIMUM EMBEDDING DIMENSION FROM SOLAR ACTIVITY CHAOTIC TIME SERIES

  2008cited by this paper
• A new method of determining the optimal embedding dimension based on nonlinear prediction

  2007cited by this paper
• Forecasting sunspot numbers with the aid of fuzzy descriptor models

  2007cited by this paper
• Extracting the main patterns of natural time series for long-term neurofuzzy prediction

  2007cited by this paper
• Effect of noise on estimation of Lyapunov exponents from a time series

  2007cited by this paper
• Discrete Chaos-I: Theory

  2006cited by this paper
• Introducing a new learning method for fuzzy descriptor systems with the aid of spectral analysis to forecast solar activity

  2006cited by this paper
• Multi-step prediction of Dst index using singular spectrum analysis and locally linear neurofuzzy modeling

  2006cited by this paper
• Computing Lyapunov exponents based on the solution expression of the variational system

  2006cited by this paper
• SWAP and LYRA: space weather from a small spacecraft

  2005cited by this paper
• Adaptive Control Systems

  2005influential reference
• Noise robust estimates of the largest Lyapunov exponent

  2005cited by this paper
• Estimation of particle acceleration and propagation parameters by possible measurements of gamma rays generated in interactions of SEP with upper corona and solar wind matter

  2005cited by this paper
• Space weather and risk management

  2005cited by this paper
• The solar and interplanetary causes of space storms in solar cycle 23

  2004cited by this paper
• Particle acceleration in the frame of the storm-substorm relation

  2004cited by this paper
• Determining the minimum embedding dimension of nonlinear time series based on prediction method

  2004cited by this paper
• Model based method for estimating an attractor dimension from uni/multivariate chaotic time series with application to Bremen climatic dynamics

  2004cited by this paper
• Physical phenomena in ionospheric and trans-ionospheric radio-communication

  2003cited by this paper
• Space Weather Hazards to Communication Satellites and the Space Weather Forecast System

  2003cited by this paper
• Storms from the Sun: the Emerging Science of Space Weather

  2002cited by this paper
• Nonlinear System Identification

  2001cited by this paper
• Estimation of the largest Lyapunov exponent in systems with impacts

  2000cited by this paper
• Solar Particle Events from a risk management perspective.

  2000cited by this paper
• The National Solar Observatory Digital Library — a resource for space weather studies

  2000cited by this paper
• The occurrence of operational anomalies in spacecraft and their relationship to space weather

  2000cited by this paper
• System identification, modeling, and prediction for space weather environments

  2000cited by this paper
• Penetrating electron fluctuations associated with GEO spacecraft anomalies

  2000cited by this paper
• RADIATION EFFECTS ON EMERGING TECHNOLOGIES: IMPLICATIONS OF SPACE WEATHER RISK MANAGEMENT

  2000cited by this paper
• Geomagnetic storm and power system impacts: advanced storm forecasting for transmission system operations

  1999cited by this paper
• DSCS satellite dielectric charging correlation with magnetic activity

  1999cited by this paper
• The effects of geomagnetic disturbances on electrical systems at the earth's surface

  1998cited by this paper
• Comparison of spacecraft charging environments at the Earth, Jupiter, and Saturn

  1998cited by this paper
• Practical method for determining the minimum embedding dimension of a scalar time series

  1997cited by this paper
• What measurements in space weather are needed for predicting spacecraft charging?

  1996cited by this paper
• Determining embedding dimension for phase-space reconstruction using a geometrical construction.

  1992cited by this paper
• Reconstructing attractors from scalar time series: A comparison of singular system and redundancy criteria

  1989cited by this paper
• Singular-value decomposition and embedding dimension.

  1987cited by this paper
• Extracting qualitative dynamics from experimental data

  1986cited by this paper
• Measurement of the Lyapunov spectrum from a chaotic time series.

  1985cited by this paper
• Measuring the Strangeness of Strange Attractors

  1983cited by this paper
• Detecting strange attractors in turbulence

  1981influential reference
• Dynamical systems with turbulent behavior

  1978cited by this paper

• A Brain Emotional Learning-inspired Model For the Prediction of Geomagnetic Storms

  2020cites this paper
• New constraints on micro-seismicity and stress state in the western part of the North Anatolian Fault Zone: Observations from a dense seismic array

  2015cites this paper
• Space Weather Prediction using Soft Computing Techniques

  2015cites this paper
• A Brain Emotional Learning-based Prediction Model for the prediction of geomagnetic storms

  2014cites this paper
• Statistical properties of Hα flares in relation to sunspots and active regions in the cycle 23

  2011cites this paper
• Recursive spectral analysis of natural time series based on eigenvector matrix perturbation for online applications

  2011cites this paper
• Online Multi-step Ahead Prediction of Time-Varying Solar and Geomagnetic Activity Indices via Adaptive Neurofuzzy Modeling and Recursive Spectral Analysis

  2011cites this paper
• Introducing adaptive neurofuzzy modeling with online learning method for prediction of time-varying solar and geomagnetic activity indices

  2010cites this paper
• Analyzing the variation of Lyapunov exponents of solar and geomagnetic activity indices during coronal mass ejections

  2009cites this paper
• Statistical properties of Hflares in relation to sunspots

  2009cites this paper
• Long-term prediction of solar and geomagnetic activity daily time series using singular spectrum analysis and fuzzy descriptor models

  2009cites this paper