Abstract
A quantitative study of the degree of complexity of electromagnetic VLF chorus emissions in the region of their excitation near the local minimum of the magnetic field outside the plasmasphere was carried out using modern mathematical tools. From the vast observational data collected during the Van Allen Probe mission, typical examples of chorus have been selected for which high-resolution digitized data are available. The original program was used to calculate the Hausdorff dimension of long numerical sequences. In all cases, the dimension turned out to be non-integer, which indicates the complex dynamics of the system. During the calculations, jumps in dimension were noted, including its decrease by about a factor of two for a fragment of a burst of chorus. The obtained results are important for confirming the mechanism of excitation of chorus by amplifying short noise pulses and for substantiating the possibility of automatic identification of electromagnetic radiation of different types.
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