Issue |
EPL
Volume 146, Number 5, June 2024
|
|
---|---|---|
Article Number | 52001 | |
Number of page(s) | 7 | |
Section | Mathematical and interdisciplinary physics | |
DOI | https://doi.org/10.1209/0295-5075/ad4414 | |
Published online | 02 July 2024 |
Maximisation of synchronisability under low injection power
1 The University of Electro-Communications - Tokyo 182-8585, Japan
2 Kyushu University - Fukuoka 815-8540, Japan
3 Chiba University - Chiba 263-8522, Japan
Received: 12 March 2024
Accepted: 26 April 2024
Synchronisability of limit cycle oscillators has been measured by the width of the synchronous frequency band, known as the Arnold tongue, concerning external forcing. We clarify a fundamental limit on maximizing this synchronisability within a specified extra low power budget, which underlies an important and ubiquitous problem in nonlinear science related to an efficient synchronisation of weakly forced nonlinear oscillators. In this letter, injection-locked Class-E oscillators are considered as a practical case study, and we systematically analyse their power consumption; our observations demonstrate the independence of power consumption in the oscillator from power consumption in the injection circuit and verify the dependency of power consumption in the oscillator solely on its oscillation frequency. These systematic observations, followed by the mathematical optimisation establish the existence of a fundamental limit on synchronisability, validated through systematic circuit simulations. The results offer insights into the energetics of synchronisation for a specific class of injection-locked oscillators.
© 2024 The author(s)
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