Non-linear electrical circuits

About the book

The book is devoted to the analysis of non-linear electric circuits. It presents the methods of circuit description with state equations and the problems of the existence and uniqueness of solutions for these equations, the existence of periodic solutions and the stability of dynamic circuit solutions. A special place in the work is the problem of estimating unknown solutions of nonlinear circuits using the mathematical theory of differential inequalities. The book is intended for those interested in non-linear dynamic circuits (systems). It can also be useful for students especially doctoral and postgraduate faculties of electrical higher education.

Brief table of contents

Admission
1 Nonlinear circuits - elements and properties
2 Nonlinear resistive circuits
3 Equations of the state of nonlinear circuits
4 First order nonlinear circuits
5 Phase plane method
6 Nonlinear high order circuits
7 Estimation of the components of the state vector and the response of the non-linear electric circuit using differential equations
8 Nonlinear ladder circuits (systems)
Literature