Applied Mathematics and Mechanics (English Edition) ›› 2025, Vol. 46 ›› Issue (2): 209-232.doi: https://doi.org/10.1007/s10483-025-3211-6

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Recent advancements of nonlinear dynamics in mode coupled microresonators: a review

Xuefeng WANG1, Zhan SHI2, Qiqi YANG3, Yuzhi CHEN3, Xueyong WEI3, Ronghua HUAN2,()   

  1. 1.Department of Engineering Mechanics, MIIT Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, Xi’an 710129, China
    2.Department of Mechanics, Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou 310027, China
    3.State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710054, China
  • Received:2024-09-04 Revised:2024-11-11 Online:2025-02-03 Published:2025-02-02
  • Contact: Ronghua HUAN, E-mail: rhhuan@zju.edu.cn
  • Supported by:
    the National Key Research and Development Program of China (No. 2022YFB3203600), the National Natural Science Foundation of China (Nos. 12202355, 12132013, and 12172323), and the Zhejiang Provincial Natural Science Foundation of China (No. LZ22A020003)

Abstract:

Due to scale effects, micromechanical resonators offer an excellent platform for investigating the intrinsic mechanisms of nonlinear dynamical phenomena and their potential applications. This review focuses on mode-coupled micromechanical resonators, highlighting the latest advancements in four key areas: internal resonance, synchronization, frequency combs, and mode localization. The origin, development, and potential applications of each of these dynamic phenomena within mode-coupled micromechanical systems are investigated, with the goal of inspiring new ideas and directions for researchers in this field.

Key words: mode coupling, micro-electro-mechanical system (MEMS) resonator, nonlinear dynamics

2010 MSC Number: 

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