On the Stability of Vander Pol Oscillator
摘要
Amplitude perturbation and its effect on the injection locking characteristics of the oscillator with the external signal is explored analytically with small amplitude perturbation. Injecting a very minute periodic signal of frequency near the free running oscillator completely changes the oscillator dynamics. Interesting locking phenomena are observed, describing the way every oscillatory system in nature responds to the external stimuli. The side-mode suppression ratio (SMSR) is presented along with numerical simulations. The stability of the oscillator is audited using the Lyapunov stability criterion. Hysteresis and frequency jump phenomenon are observed for the oscillator.