Vladimir Semenov – författare

This book presents advanced methods for the electronic modeling of dynamical systems governed by ordinary differential equations.

It offers a comprehensive toolkit and practical solutions for specialists in nonlinear dynamics who seek experimental validation of their mathematical models. The aim is to empower readers without an extensive background in electronics or circuit theory to translate their theoretical concepts into real-world devices, facilitating the rapid experimental confirmation of numerical and theoretical findings. For experts in electronic engineering, the book showcases how a wide range of non-electronic systems and their unique characteristics can be effectively modeled using electronic circuits.

Bridging the gap between theory and practice, the book serves as a valuable resource on electronics for theorists and mathematicians, and on nonlinear dynamics for experimentalists and engineers. Its audience includes a broad spectrum of readers, from students and engineers to scientists and researchers across various fields.

At the heart of this book is the generalized theoretical approach that is applied to investigate the geoelectrical structure of the Earth’s mantle. It also analyzes the results of regional and global induction sounding of the Earth’s mantle and compares them with the results obtained by other geophysical methods. The generalized theoretical approach employs the Induction Law as a basis for identifying extended relations between magnetic field components, including their plane divergence, impedances and spatial derivatives. The estimations of impedance values and spatial derivatives are performed using the theory of stochastic processes. The book also considers the external sources of magnetic fields used for sounding the Earths mantle from the modern theory perspective, as well as the problem of coincidence of magneto-variation and magnetotelluric methods. Further, it discusses secular variations in the Earth’s resistance caused by non-induction sources, factors that are correlatedwith the number of earthquakes in the region and shifted in time with global indexes. 

It is a valuable resource for scientists applying deep induction soundings or interested in the structures of and processes in the Earth’s interior.