Loop Gain and its Relation to Nonlinear Behavior and Chaos in a Transformer-Coupled oscillator

A relationship between the loop gain and nonlinear behavior of a transformer-coupled oscillator is established in this paper. With increase of the loop gain, the system undergoes a series of changes in its dynamical behavior, i.e. no oscillation, near-sinusoidal, period-doubling, chaotic and squegging oscillations. It is expected that the approach of loop gain analysis can be universally applied to investigating the nonlinear behavior, especially chaos, in other oscillators.