Frequency locking in an injection-locked frequency divider equation
Copyright policy )Frequency locking in an injection-locked frequency divider equation
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.
- Roma Tre University Italy
- University of Surrey United Kingdom
OSCILLATOR, Science & Technology, TORI, devil's staircase, MULTIDISCIPLINARY SCIENCES, 34C23, 34C25, 37C10, 37C60, 37G15, CIRCUIT, VANDERPOL, injection-locked frequency divider, Dynamical Systems (math.DS), Devil's staircase, Multidisciplinary Sciences, JOSEPHSON-JUNCTION, frequency locking, Arnold tongues, Mathematics - Classical Analysis and ODEs, Analytic circuit theory, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Science & Technology - Other Topics, Mathematics - Dynamical Systems, Periodic solutions to ordinary differential equations
OSCILLATOR, Science & Technology, TORI, devil's staircase, MULTIDISCIPLINARY SCIENCES, 34C23, 34C25, 37C10, 37C60, 37G15, CIRCUIT, VANDERPOL, injection-locked frequency divider, Dynamical Systems (math.DS), Devil's staircase, Multidisciplinary Sciences, JOSEPHSON-JUNCTION, frequency locking, Arnold tongues, Mathematics - Classical Analysis and ODEs, Analytic circuit theory, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Science & Technology - Other Topics, Mathematics - Dynamical Systems, Periodic solutions to ordinary differential equations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).16 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!