Chaotic behaviour of interplanetary magnetic field under various geomagnetic conditions

Remanan, Remya; Unnikrishnan, K. P.

doi:10.1016/j.jastp.2010.03.007

Cited by 12 publications

(3 citation statements)

References 58 publications

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“…Also the phenomenon of saddle-node bifurcation has been noticed in solar wind magnetic field fluctuations while moving from MHD to kinetic scales resulting in the fact that the system is more chaotic in kinetic scales than MHD scales. In [20], chaotic behaviours of interplanetary magnetic fields have been investigated under various geomagnetic conditions using different chaotic quantifiers like Lyapunov exponent, Tsallis entropy, correlation dimension and nonlinear prediction error. In [21], different nonlinear dynamical techniques have been implemented to analyse solar wind parameters under various interplanetary magnetic field conditions.…”

Section: Introductionmentioning

confidence: 99%

Effects of electron-to-ion mass ratio in driving magnetic oscillations of magnetohydrodynamic plasmas and self-organized criticality

Acharya,

Shaw,

Jha

et al. 2024

Phys. Scr.

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Evolutions of nonlinear magnetic fields have been shown to be governed by a set of coupled nonlinear equations of second order in magnetohydrodynamic (MHD) plasmas by Lee and Parks [Geophys. Res. Lett. 19, 7, 637-640 (1992)]. We have considered the same set of coupled nonlinear equations for further analysis in this work by neglecting the presence of external forcing term in it. Different modes of oscillations of magnetic field have been found to exist in special limiting cases of this set of undriven second order coupled nonlinear equations having frequencies that are multiples of lower hybrid frequency. Numerical solutions of these coupled equationshave been analysed revealing a quasi-periodic route to chaotic oscillations of the nonlinear magnetic fields as electron-to-ion mass ratio signifying presence of linear coupling effects is increased. Some signatures of the phenomenon of self-organized criticality (SOC) in typical quasi-periodic oscillations of magnetic field have also been noticed using Fourier analysis. The presence of long range correlations has been witnessed in quasi-periodic oscillations whereas both long range correlations and anticorrelationsare found in chaotic oscillations using rescaled range analysis. Concluding remarks are provided in addition to various results and discussions.

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Section: Introductionmentioning

confidence: 99%

Effects of electron-to-ion mass ratio in driving magnetic oscillations of magnetohydrodynamic plasmas and self-organized criticality

Acharya,

Shaw,

Jha

et al. 2024

Phys. Scr.

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“…Therefore, investigation in the ore-forming process with solid phase and the effect of dynamics has great significance. Chaos theory is an important branch of nonlinear analysis, and is widely applied in the last few decades in a variety of systems, e.g., mechanical, chemical, physical, as well as in social sciences [8][9][10][11]. In particular, chaotic techniques, developed to extract qualitative and quantitative information from time series, have been applied recently to the study of a large variety of irregular, erratic signals and by now have demonstrated to be very useful to reveal deep dynamical features [12].…”

Section: Introductionmentioning

confidence: 99%

Chaotic Phenomena of Gold Grade Series and Identification of Mineral Intensity

Wan¹,

Zhang²,

Lai³

et al. 2017

dtcse

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The variety of the ore-forming element concentrations, determined by the geodynamic genesis of metallogenic system, bears strongly random and chaos features. Identifying the characteristics of ore-forming elements is significant for better understanding the ore-forming process and mineral prospecting. In this paper, the technique of phase space reconstruction is applied to study the chaotic characteristics of gold grade series from intensely mineralized drift and barely mineralized drifts in Dayingezhuang Deposit, Jiaodong Gold Province, China. The results show that the largest Lyapunov exponents are above zero, and correlation fractal dimensions are non-integer, showing the chaotic phenomena in the gold enrichment processes. The gold grade series of intensely mineralized drift exhibits stronger chaotic characteristics than the barely mineralized drifts. By quantifying the chaotic characteristics of the ore-forming elements' series of a typical deposit, a new method is provided for the identification of mineralization intensity, and to further determine the theoretical basis and scientific foundation of the extent of deposit concentration and delineation of the target mineralization zone.

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“…Therefore, investigation in the oreforming process with solid phase and the effect of dynamics has great significance. Chaos theory is an important branch of nonlinear analysis, and is widely applied in the last few decades in a variety of systems, e.g., mechanical, chemical, physical, as well as in social sciences [7][8][9][10]. In particular, chaotic techniques, developed to extract qualitative and quantitative information from time series, have been applied recently to the study of a large variety of irregular, erratic signals and by now have demonstrated to can be very useful to reveal deep dynamical features [11].…”

Section: Introductionmentioning

confidence: 99%

Analysis on Phase Space Reconstruction and Chaotic Characteristic of Element Concentration Series of Gold Deposit

Wan¹,

Zhu²,

Deng³

2015

Advances in Intelligent Systems Research

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Chaotic behaviour of interplanetary magnetic field under various geomagnetic conditions

Cited by 12 publications

References 58 publications

Effects of electron-to-ion mass ratio in driving magnetic oscillations of magnetohydrodynamic plasmas and self-organized criticality

Effects of electron-to-ion mass ratio in driving magnetic oscillations of magnetohydrodynamic plasmas and self-organized criticality

Chaotic Phenomena of Gold Grade Series and Identification of Mineral Intensity

Analysis on Phase Space Reconstruction and Chaotic Characteristic of Element Concentration Series of Gold Deposit

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