Классическое описание очага землетрясения с точки зрения сопутствующих дифференцируемых отображений: восстановление параметров и иерархия моделей

• Date: 2008
• Main Author: Костинский, А.С.
• Format: Article
• Language: Russian
• Published: Видавничий дім "Академперіодика" НАН України 2008
• Subjects: Науки про Землю
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4106
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Классическое описание очага землетрясения с точки зрения сопутствующих дифференцируемых отображений: восстановление параметров и иерархия моделей / А.С. Костинский // Доп. НАН України. — 2008. — № 4. — С. 125-131. — Бібліогр.: 6 назв. — рос.

A generalized approach to the appreciation of “traditional” mathematical models of earthquake
 focus is analyzed. It is assumed that the system of equations for model parameters can be
 formulated. If the analytical form of the system is known, a mapping of the set of parameters
 to the set of “observables” is determined. The properties of the mapping can serve, as it is
 asserted, a characteristic of the model. The images of regions in the space of parameters (“maps
 of mappings”) allow one to visualize an information about the number of possible solutions of the
 system as a function of a point in the space of “observables” and about a generalized “response”
 of the system (the loss of solutions, and a change of the number of solutions) as a consequence
 of the variation of experimental data. The results can be used for the computation of building structures in seismoactive zones.