Impulse sensitivity functions of oscillators

We define two impulse sensitivity functions (ISF) describing the transient and the stationary effects of perturbations on the trajectory of oscillators. These functions give an insight into the sensitivity of the oscillator over time. They can be used to rate different oscillators according to their sensitivity to perturbations, e.g. by noise. Both functions are derived from the properties of the corresponding dynamic system model and its monodromy matrix. The calculation of the ISF is shown and correlations between the nonlinearity contained in the oscillator and its noise behaviour is demonstrated by an example