Frequency locking in an injection-locked frequency divider equation

被引：14

作者：

Bartuccelli, Michele V. ^{[2
]}

Deane, Jonathan H. B. ^{[2
]}

Gentile, Guido ^{[1
]}

机构：

[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy

[2] Univ Surrey, Dept Math, Guildford GU2 7XH, Surrey, England

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2009年 / 465卷 / 2101期

关键词：

frequency locking; Arnold tongues; devil's staircase; injection-locked frequency divider; TORI; VANDERPOL;

D O I：

10.1098/rspa.2008.0307

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：283 / 306

页数：24

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