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Hausdorff Dimension of Typical Very Low Frequency Chorus Emissions and Verification of Their Mechanism of Excitation

Bulletin of the Russian Academy of Sciences: Physics. 2024. Vol. 88. No. 3. P. 353–358.
P. A. Bespalov, O. N. Savina, G. M. Neshchetkin

Modern mathematical tools are used to perform a quantitative study of the complexity of electromagnetic
VLF chorus emissions in the region of their excitation near the local minimum of the magnetic field
outside the plasmasphere. Typical examples of chorus are selected for which high-resolution digitized data
are available from the vast observational data collected during the Van Allen Probe mission. The original program
is used to calculate the Hausdorff dimension of long numerical sequences. In all cases, the dimension
is non-integer, testifying to the complex dynamics of the system. Jumps in dimension are noted during the
calculations, including a roughly 50% reduction for a fragment of a chorus burst. The obtained results are
important for confirming the mechanism of chorus excitation by amplifying short noise pulses and substantiating
the automatic identification of different types of electromagnetic radiation.

Research target: Physics
Language: English
Full text
DOI
Keywords: магнитосферафрактальный анализmagnetospherefractal analysisсвистовая модаWave–particle interactionWhistler modeвзаимодействие волна-частица
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