Heliospheric shocks and catastrophe theory

Details Heliospheric shocks and catastrophe theory Heliospheric shocks and catastrophe theory

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990georl..17.1633b&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 17, Sept. 1990, p. 1633-1636.

Astronomy and Astrophysics

Astrophysics

Catastrophe Theory, Heliosphere, Shock Wave Propagation, Polynomials, Shock Wave Interaction, Solar Wind

Scientific paper

Various configurations of forward and reverse shocks that occur in the outer heliosphere can be classified using catastrophe theory. The existence of a forward shock is associated with a local maximum of a polynomial, and the existence of a reverse shock is associated with a local minimum of a polynomial. A configuration with N forward shocks and N reverse shocks corresponds to a polynomial with N maxima and N minima. The formation of forward and reverse shocks corresponds to the creation of maxima and minima of a polynomial, which is described by the separatrices of the catastrophes. The coalescence of two forward (reverse) shocks corresponds to the situation when two maxima (minima) of a polynomial have equal values, and the interaction of a forward shock with a reverse shock corresponds to a polynomial with a local maximum equal to a local minimum; these situations are described by the Maxwell sets of the appropriate catastrophes.

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