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MINI REVIEW article
Front. Phys.
Sec. Interdisciplinary Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1542758
This article is part of the Research Topic Nonlinear Vibration and Instability in Nano/Micro Devices: Principles and Control Strategies View all 10 articles
He's Frequency Formulation for Fractal-Fractional Nonlinear Oscillators: A Comprehensive Analysis
Provisionally accepted- 1 Xi'an University of Architecture and Technology, Xi'an, Shaanxi Province, China
- 2 Taif University, Ta'if, Saudi Arabia
- 3 Hohhot Minzu College, Hohhot, China
This mini-review focuses on He's frequency formulation for fractal-fractional nonlinear oscillators. It examines the significance and applications of this formulation in understanding and analyzing the frequency-amplitude relationship within a fractal space. The review analyses the key features and advantages of He's frequency formulation, highlighting its role in providing a straightforward approach to fractal vibration systems compared to traditional methods. Furthermore, it discusses an open problem for future research.
Keywords: nonlinear vibration, MEMS, Periodic solution, Frequency-amplitude relationship, Fractal-fractional model
Received: 11 Dec 2024; Accepted: 28 Feb 2025.
Copyright: © 2025 Zhang, Gepreel and Yu. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence:
Jiahui Yu, Hohhot Minzu College, Hohhot, China
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