Application of the methods of dynamical systems theory to solve nonlinear inverse problems in geophysics

被引:0
|
作者
I. E. Stepanova
机构
[1] Russian Academy of Sciences,Schmidt Institute of Physics of the Earth
来源
关键词
Inverse Problem; Gravity Field; Solid Earth; Toda Chain; Zero Moment;
D O I
暂无
中图分类号
学科分类号
摘要
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 geometrical parameters is reduced to the solution of a system of differential equations, which is an analogue of dynamical systems.
引用
收藏
页码:155 / 164
页数:9
相关论文
共 50 条
  • [31] Inverse Variational Problem for Nonlinear Dynamical Systems
    Khan, B. A.
    Chatterjee, S.
    Ali, S. G.
    Talukdar, B.
    ACTA PHYSICA POLONICA A, 2022, 141 (01) : 64 - 73
  • [32] Dynamical inverse problems for systems with distributed parameters
    Osipov, Yu.S.
    Kryazhimskii, A.V.
    Maksimov, V.L.
    Journal of Inverse and Ill-Posed Problems, 4 (04):
  • [33] ON SOME METHODS TO SOLVE INTEGRODIFFERENTIAL INVERSE PROBLEMS OF PARABOLIC TYPE
    Colombo, F.
    BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2015, 8 (03): : 95 - 115
  • [34] Iterative Implicit Methods for Solving Nonlinear Dynamical Systems: Application of the Levitron
    Geiser, Juergen
    Lueskow, Karl Felix
    Schneider, Ralf
    FINITE DIFFERENCE METHODS, THEORY AND APPLICATIONS, 2015, 9045 : 193 - 200
  • [35] Optimization methods in the inverse problems theory
    Egorov, A.I.
    Problemy Upravleniya I Informatiki (Avtomatika), 1995, (01): : 78 - 88
  • [36] A greedy algorithm for nonlinear inverse problems with an application to nonlinear inverse gravimetry
    Kontak M.
    Michel V.
    GEM - International Journal on Geomathematics, 2018, 9 (02) : 167 - 198
  • [37] The Neural Network Approximation Method for Solving Multidimensional Nonlinear Inverse Problems of Geophysics
    Shimelevich, M. I.
    Obornev, E. A.
    Obornev, I. E.
    Rodionov, E. A.
    IZVESTIYA-PHYSICS OF THE SOLID EARTH, 2017, 53 (04) : 588 - 597
  • [38] The neural network approximation method for solving multidimensional nonlinear inverse problems of geophysics
    M. I. Shimelevich
    E. A. Obornev
    I. E. Obornev
    E. A. Rodionov
    Izvestiya, Physics of the Solid Earth, 2017, 53 : 588 - 597
  • [39] The Combinatorial-Variational Approach to Solving Linear and Nonlinear Inverse Problems in Geophysics
    Stepanova, I. E.
    Kolotov, I. I.
    DOKLADY EARTH SCIENCES, 2024, 518 (01) : 1534 - 1545
  • [40] INVERSE PROBLEMS FOR NONLINEAR DELAY SYSTEMS
    Banks, H. T.
    Rehm, Keri
    Sutton, Karyn
    METHODS AND APPLICATIONS OF ANALYSIS, 2010, 17 (04) : 331 - 356