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The application of the catastrophe theory for the description of space – time structures of frequency – modulated signals in plasma

Keywords:

A.S. Kryukovsky, Yu.Ig. Skvortsova


In this work the application of the catastrophe theory for the description space– time structure of a frequency – modulated signal in homogeneous plasma is investigated. The ideas of the space – time geometrical theory of a diffraction are advanced. The conditions of formation of space – time edge catastrophes in case of propagation of electromagnetic and acoustic waves in plasma with a frequency dispersion are considered. The work contains classification of edge catastrophes for this case, necessary and a sufficient condition of their formation. Edge catastrophe F4, and also singularities BN+1 and CN+1 are investigated.
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