Multi-frequency Oscillations in the Nonlinear Threshold Controlled Unidirectionally Coupled Oscillators

IF 1.8 3区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

Circuits, Systems and Signal Processing Pub Date : 2024-07-29 DOI:10.1007/s00034-024-02795-y

P. Yogamarish, I. Raja Mohamed

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Abstract

This work presents an experimental realization of a ring scheme of nonlinear threshold controlled unidirectionally coupled (N = 3) second-order autonomous type oscillating systems. The originality of this work lies in having the threshold controller as the nonlinear element of the dynamical system and as the coupling element to form a ring circuit using these systems. The advantage of this coupling is getting tuning of frequency (multi-frequency) of the ring from a few hertz to kilohertz along with the observation of a periodic rotating wave pattern by varying one of the parameter values of the system, in terms of either changing the resistor value (gain) in the coupling path or changing the threshold value of the threshold controller or both. The results explored through this experimental study are confirmed by numerically simulated results, obtained using MATLAB coding- simulink and MULTISIM software. The symmetrical and asymmetrical aspects of the flexible threshold coupling are also studied and the observed interesting experimental and numerical results are presented.

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非线性阈值控制单向耦合振荡器中的多频振荡

本研究通过实验实现了非线性阈值控制单向耦合（N = 3）二阶自主型振荡系统的环形方案。这项工作的独创性在于将阈值控制器作为动态系统的非线性元素和耦合元素，利用这些系统形成环形电路。这种耦合的优势在于，通过改变系统的一个参数值，即改变耦合路径中的电阻值（增益）或改变阈值控制器的阈值，或同时改变这两个参数值，就能调整环的频率（多频），频率范围从几赫兹到几千赫兹，同时还能观察到周期性的旋转波形。使用 MATLAB 编码--simulink 和 MULTISIM 软件获得的数值模拟结果证实了本实验研究的结果。此外，还对柔性阈值耦合的对称和不对称方面进行了研究，并展示了观察到的有趣的实验和数值结果。

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

Circuits, Systems and Signal Processing 工程技术-工程：电子与电气

CiteScore

4.80

自引率

13.00%

发文量

321

审稿时长

4.6 months

期刊介绍： Rapid developments in the analog and digital processing of signals for communication, control, and computer systems have made the theory of electrical circuits and signal processing a burgeoning area of research and design. The aim of Circuits, Systems, and Signal Processing (CSSP) is to help meet the needs of outlets for significant research papers and state-of-the-art review articles in the area. The scope of the journal is broad, ranging from mathematical foundations to practical engineering design. It encompasses, but is not limited to, such topics as linear and nonlinear networks, distributed circuits and systems, multi-dimensional signals and systems, analog filters and signal processing, digital filters and signal processing, statistical signal processing, multimedia, computer aided design, graph theory, neural systems, communication circuits and systems, and VLSI signal processing. The Editorial Board is international, and papers are welcome from throughout the world. The journal is devoted primarily to research papers, but survey, expository, and tutorial papers are also published. Circuits, Systems, and Signal Processing (CSSP) is published twelve times annually.