修正分数雷利-李纳振荡器和重正化群（RG）方法

IF 1.9 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2024-11-01 DOI:10.1007/s12043-024-02843-x

Shreya Mitra, A Ghose-Choudhury, Sudip Garai, Sujoy Poddar, Partha Guha

引用次数: 0

摘要

我们应用重正化群（RG）技术研究了修正的雷利-李纳振荡器在通常整阶阻尼和分数阶阻尼情况下的周期解。在后一种情况下，还考虑了参数驱动的周期性外力。两种情况下都明显存在极限循环解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Modified fractional Rayleigh–Liénard oscillator and the renormalisation group (RG) method

We apply the technique of renormalisation group (RG) to investigate periodic solutions of the modified Rayleigh–Liénard oscillator, both in presence of usual integer order damping and fractional order damping. In the latter case, a parametric driven periodic external force is also taken into account. The existence of limit cycle solutions is evident in both scenarios.

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来源期刊

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.