Dynamics and routes to strange non-chaotic behaviour in MEMS resonators: analysis and characterisation

IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Pramana Pub Date : 2024-12-27 DOI:10.1007/s12043-024-02858-4
Mohanasubha Ramasamy, Suresh Kumarasamy, Dianavinnarasi Joseph, Jeeva Arulanantham Muthu, Karthikeyan Rajagopal
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引用次数: 0

Abstract

The present study deals with the dynamics of microelectromechanical system (MEMS) resonators, especially the exploration of strange non-chaotic attractor (SNA) in MEMS resonators. SNAs often arise in systems driven by quasiperiodic forces, where the system is subjected to multiple frequencies that are incommensurate. When we apply the quasiperiodic forces, we identify the presence of SNA regions in the MEMS oscillators through bifurcation and Lyapunov analysis. Subsequently, we analyse the route of SNA in the considered system. In our analysis, the first identified route to SNA is the fractilisation route which is validated through various analyses, such as Poincaré map, distribution of finite-time Lyapunov exponents, Lyapunov variance, singular continuous spectrum and recurrence analysis. Moreover, two additional routes to SNA, namely Haegy–Heamel route and intermittency route, are identified and thoroughly investigated, and the presence of SNA is confirmed using singular continuous spectrum analysis. This work helps to understand SNA that can be important in fields like signal processing, where distinguishing between chaotic and non-chaotic signals is crucial. In particular, the emergence and characterisation of SNAs in MEMS resonators open avenues for further research and applications in nonlinear dynamics and chaotic systems.

Abstract Image

MEMS谐振器中奇怪非混沌行为的动力学和路径:分析和表征
本文研究了微机电系统(MEMS)谐振器的动力学特性,特别是对MEMS谐振器中奇异非混沌吸引子(SNA)的探索。sna通常出现在由准周期力驱动的系统中,其中系统受到不相称的多个频率的影响。当我们施加准周期力时,我们通过分岔和李雅普诺夫分析确定了MEMS振荡器中SNA区域的存在。随后,我们分析了SNA在考虑的系统中的路径。在我们的分析中,第一个确定的SNA路径是分形路径,通过各种分析验证,如庞加莱图,有限时间李亚普诺夫指数分布,李亚普诺夫方差,奇异连续谱和递归分析。此外,确定并深入研究了通往SNA的另外两条路线,即Haegy-Heamel路线和间歇性路线,并使用奇异连续频谱分析证实了SNA的存在。这项工作有助于理解SNA在信号处理等领域的重要性,在这些领域中,区分混沌和非混沌信号至关重要。特别是,MEMS谐振器中sna的出现和表征为非线性动力学和混沌系统的进一步研究和应用开辟了道路。
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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来源期刊
Pramana
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.
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