LAUSR

Singular network condition is proposed to study oscillators. It states that a circuit is a potential oscillator if and only if the rank of the network matrix of size  n  X  n  is  (n -1) at the frequency of oscillations . The dual (if it exists) and adjoint circuits of an oscillator are also oscillators. Limitations of  Barkhausen’s approach are pointed out . It is explained that there are many ways to generate oscillations other than Barkhausen’s positive feedback configuration. The new approach emphasises that appropriate D C inputs / initial conditions are important.