Note on the sensitivity of nonlinear dynamic systems

This correspondence indicates that the investigation of the sensitivity limit cycle of nonlinear systems with a stable limit cycle is reduced to investigating the solution of the homogeneous part of the sensitivity equations. Contrary to the linear systems, the existence of stable limit cycle in nonlinear systems does not exclude the possibility of the sensitivity stable limit cycle. Theorems are stated giving the necessary and sufficient conditions for existence of the stable limit cycle of sensitivity.