Perturbation of a harmonic oscillator by small modulated signals
Abstract
A generalized Adler equation is derived through the use of a theorem of Kudrewicz (1975). The equation describes the phase difference between the perturbed and perturbing signal as a function of time. The phenomenon corresponding to a timelimited phase difference is called qlocking, and the region in parameter space in which the phenomenon occurs is called the qlocking region. By the use of a proposition of Tykhonov, the size of the qlocking regions for the cases of small perturbing signals slowly modulated in amplitude and phase is determined, and the behavior of the phase difference outside the qlocking regions is described.
 Publication:

Archiwum Elektrotechniki
 Pub Date:
 1977
 Bibcode:
 1977ArEle..26..405C
 Keywords:

 Harmonic Oscillators;
 Perturbation Theory;
 Signal Analysis;
 Amplitude Modulation;
 Circuit Diagrams;
 Frequency Modulation;
 Integral Equations;
 Phase Modulation;
 Rlc Circuits;
 Signal Generators;
 Electronics and Electrical Engineering