возбуждение колебаний

Subject of the study. Excitable dynamic systems are the systems having a stable equilibrium and capable of generating a large amplitude response to a weak stimulation. Excitable dynamic systems research is one of the most interesting and actual problems of modern nonlinear science. In the present paper dynamics of phase-locked loop with bandpass filter is studied under external pulse stimulation. Novelty.

A possible response of both lumped and distributed systems to weak random disturbances of forced character (additive) and the disturbances leading to parametric excitation of oscillations (multiplicative) is presented. It is shown that multiplicative disturbances of a system may cause radical change in its behavior, similar to that occurs in thermodynamically equilibrium systems after second kind phase transitions.