Integral manifolds for non‐linear circuits

Abstract Although the theory of integral manifolds is well known among applied mathematicians as a powerful tool in non‐linear oscillations, it is relatively unknown, let alone applied, among circuit engineers. the purpose of this mostly tutorial paper is to illustrate the applications of integral manifolds to explain various non‐linear phenomena widely observed in non‐linear circuits. Numerous examples and graphical illustrations are included in order to present the theory with a minimum amount of mathematics.