Arnold tongues for a resonant injection-locked frequency divider: analytical and numerical results
Dynamical Systems
2014-03-24 v1 Classical Analysis and ODEs
Abstract
In this paper we consider a resonant injection-locked frequency divider which is of interest in electronics, and we investigate the frequency locking phenomenon when varying the amplitude and frequency of the injected signal. We study both analytically and numerically the structure of the Arnold tongues in the frequency-amplitude plane. In particular, we provide exact analytical formulae for the widths of the tongues, which correspond to the plateaux of the devil's staircase picture. The results account for numerical and experimental findings presented in the literature for special driving terms and, additionally, extend the analysis to a more general setting.
Keywords
Cite
@article{arxiv.0910.0752,
title = {Arnold tongues for a resonant injection-locked frequency divider: analytical and numerical results},
author = {Michele V. Bartuccelli and Jonathan H. B. Deane and Guido Gentile and Frank Schilder},
journal= {arXiv preprint arXiv:0910.0752},
year = {2014}
}
Comments
24 pages, 6 figures