Multifractal analysis of low-latitude geomagnetic fluctuations

Bolzan, Maurı́cio José Alves; Rosa, Reinaldo R.; Sahai, Y.

doi:10.5194/angeo-27-569-2009

Cited by 23 publications

(13 citation statements)

References 40 publications

(51 reference statements)

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“…Choosing typical parameters values for the p-model (Bolzan et al 2009) we use an algorithm to fit the experimental and theoretical data. The results are shown in Fig.…”

Section: Data Analysis Interpretation and Discussionmentioning

confidence: 99%

Nonlinear analysis of decimetric solar bursts

Rosa¹,

Bolzan²,

Fernandes³

et al. 2009

Proc. IAU

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Abstract. The solar radio emissions in the decimetric frequency range (above 1 GHz) are very rich in temporal and spectral fine structures due to nonlinear processes occurring in the magnetic structures on the corresponding active regions. In this paper we characterize the singularity spectrum, f (α), for solar bursts observed at 1.6, 2.0 and 3 GHz. We interpret our findings as evidence of inhomogeneous plasma turbulence driving the underlying plasma emission process and discuss the nonlinear multifractal approach into the context of geoeffective solar active regions.

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“…Choosing typical parameters values for the p-model (Bolzan et al 2009) we use an algorithm to fit the experimental and theoretical data. The results are shown in Fig.…”

Section: Data Analysis Interpretation and Discussionmentioning

confidence: 99%

Nonlinear analysis of decimetric solar bursts

Rosa¹,

Bolzan²,

Fernandes³

et al. 2009

Proc. IAU

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“…It is noteworthy that, although the w parameters are very closed (w = 1.16 during the CME and w = 1.19 after the CME), the values for α max are slightly different: α max = 1.12 (during the CME) and α max = 0.91 (after the CME). In our previous work (Bolzan et al, 2009c), by using the H-component of the geomagnetic field obtained in Brazil, we found greatest values of the α max for time series with strong presence of the deterministic phenomena, such as solar daily variation on geomagnetic field. This fact indicates that the presence of the strong and deterministic phenomena Fig.…”

Section: Resultsmentioning

confidence: 99%

Multifractal analysis of interplanetary magnetic field obtained during CME events

Bolzan

Rosa

2012

Ann. Geophys.

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Abstract. In this paper, we have analyzed the interplanetary magnetic field (IMF) obtained by ACE satellite during the coronal mass ejection events. The characterization of the IMF fluctuations was performed using the singular power spectra deviations obtained from a wavelet transform modulus maxima (WTMM) approach. The results suggest the existence of different multifractal processes driving the intermittency during and after the CME events on the IMF time series. The characteristic time scales found, using the WTMM, and possible related physical mechanisms are discussed in the context of nonlinear interplanetary magnetic field response.

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“…The correlation level can be formulated either in simple frequency form or in cumulative frequency form, usually as a rank-size type relationship, which is preferred in this case, when the focus is on the rarer or larger events that dominate the distribution of U (t) for different temporal scales. There are many other post-analytical properties as Kullback-Leibler divergence [11], fractal-like dimensions [12], Kolmogorov-Sinai entropy [12], Hurst exponent [12], singularity spectral index [13], etc, which can be addressed for GNL with κ = 2 (1D time-series case U (t)). Although the quantity of post-analytical measures is an open set μ 1 , .…”

Section: The Post-analytical Parameters μ Pmentioning

confidence: 99%

Generalized numerical lattices for time series representation in complex data systems

Veronese¹,

Rosa

Vijaykumar

et al. 2009

JCIS

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Analysis of information from multiple data sources obtained through high resolution instrumental measurements has become a fundamental task in all scientific areas. The development of expert methods able to treat such multi-source data systems, with both large variability and measurement extension, is a key for studying complex scientific phenomena, especially those related to systemic analysis in space and environmental sciences. In this paper, we propose a time series generalization introducing the concept of generalized numerical lattice, which represents a discrete sequence of temporal measures for a given variable. In this novel representation approach each generalized numerical lattice brings post-analytical data information. We define a generalized numerical lattice £ as a set of three coefficients (κ, λ , μ p ), representing the following data properties: dimensionality, size and post-analytical parameters, respectively. From this generalization, any multi-source database can be reduced to a closed set of classified time series in spatio-temporal generalized dimensions. As a case study, we show a preliminary application in space science data, highlighting the possibility of a real time analysis expert system to be developed in a future work.

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Multifractal analysis of low-latitude geomagnetic fluctuations

Cited by 23 publications

References 40 publications

Nonlinear analysis of decimetric solar bursts

Nonlinear analysis of decimetric solar bursts

Multifractal analysis of interplanetary magnetic field obtained during CME events

Generalized numerical lattices for time series representation in complex data systems

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