Hisa-Aki Tanaka, Yoji Yabe, Somei Suga, Akira Keida, Kai Maeda, Fumito Mori and Hiroo Sekiya
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引用次数: 0
Abstract
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.
极限周期振荡器的同步性是通过与外部强迫有关的同步频带(即阿诺德舌)的宽度来衡量的。我们阐明了在指定的超低功率预算内最大限度地提高这种同步性的基本限制,它是非线性科学中与弱受迫非线性振荡器的高效同步有关的一个重要而普遍的问题的基础。在这封信中,我们将注入锁定的 E 类振荡器作为一个实际案例进行研究,并对其功耗进行了系统分析;我们的观察结果表明,振荡器的功耗与注入电路的功耗无关,并验证了振荡器的功耗完全取决于其振荡频率。通过这些系统观测和数学优化,我们确定了同步性的基本限制,并通过系统电路仿真进行了验证。这些结果为特定类别的注入锁定振荡器的同步能量学提供了见解。
期刊介绍:
General physics – physics of elementary particles and fields – nuclear physics – atomic, molecular and optical physics – classical areas of phenomenology – physics of gases, plasmas and electrical discharges – condensed matter – cross-disciplinary physics and related areas of science and technology.
Letters submitted to EPL should contain new results, ideas, concepts, experimental methods, theoretical treatments, including those with application potential and be of broad interest and importance to one or several sections of the physics community. The presentation should satisfy the specialist, yet remain understandable to the researchers in other fields through a suitable, clearly written introduction and conclusion (if appropriate).
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