Frequency locking in an injection-locked frequency divider equation-Reference-Cited by-同舟云学术

Frequency locking in an injection-locked frequency divider equation

Published:2008-10-14 Issue:2101 Volume:465 Page:283-306
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Bartuccelli Michele V¹,Deane Jonathan H.B¹,Gentile Guido²

Affiliation:

1. Department of Mathematics, University of SurreyGuildford GU2 7XH, UK

2. Dipartimento di Matematica, Università di Roma TreRoma 00146, Italy

Abstract

We consider a model for a resonant injection-locked frequency divider, and study analytically the locking onto rational multiples of the driving frequency. We provide explicit formulae for the width of the plateaux appearing in the devil's staircase structure of the lockings, and in particular show that the largest plateaux correspond to even integer values for the ratio of the frequency of the driving signal to the frequency of the output signal. Our results prove the experimental and numerical results available in the literature.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2008.0307

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