Application of the Methods of Dynamical Systems Theory
to Solve Nonlinear Inverse Problems in Geophysics

I. E. Stepanova

Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, ul. Bol’shaya Gruzinskaya 10, Moscow, 123995
Russia

e-mail: tet@ifz.ru

Received July 2, 2012

Abstract—A method for the solution of inverse geophysical problems for finding the shape of an anomalous
body by analyzing the dispersionless Toda hierarchy chain is considered. The search for the unknown geomet-
rical parameters is reduced to the solution of a system of differential equations, which is an analogue of dynam-
ical systems.

DOI: 10.1134/S1069351313020092


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