Deadline for manuscript submissions: 30 Dec. 2025
Special Issue Editors
Prof. Ji-Huan He Website E-Mail: hejihuan@suda.edu.cn
Guest Editor
Soochow University, China
Interests: Mathematics Physics Thermodynamics Engineering Mechanics
Dr. Piotr Skrzypacz Website E-Mail: piotr.skrzypacz@nu.edu.kz
Guest Editor
Nazarbayev University, Kazakhstan
Interests: MEMS; FEM; Chemical Reactor Engineering; Numerical Analysis; CFD
Dr. Qingmei Bai Website E-Mail: bai.qingmei@163.com
Guest Editor
Hohhot Minzu College, China
Interests: Spectral theory of operator matrix
Special Issue Information
This special issue centers around nonlinear vibration systems associated with MEMS systems and energy harvesting.
Microelectromechanical systems (MEMS) are assuming an increasingly prominent position in the contemporary technological landscape. It amalgamates multidisciplinary technologies like micromechanics, microelectronics, and microoptics, and finds extensive applications in a multitude of fields such as sensors, actuators, microfluidic devices, and radiofrequency (RF) devices.
The following topics are solicited:
1) Mathematical tools for MEMS systems, encompassing analytical methods, fractal geometry and fractional calculus.
2) Applications of the MEMS systems in diverse advanced fields, including, for instance, wearable textiles.
3) Pull-in instability and periodic solutions of the various MEMS systems.
4) Nonlinear analysis of the nonlinear vibration systems.
5) Mathematical analysis of energy harvesting.
6) Low-frequency property of the nonlinear vibration systems.
7) Control and application of random vibration.
Keywords
Nonlinear Vibration Systems
MEMS Systems
Energy Harvesting
Mathematics
Physics
Thermodynamics
Engineering Mechanics

Published Papers
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Open Access
Editorial
Article ID: 2589
Transforming frontiers: The next decade of differential equations and control processes
by Ji-Huan He
Advances in Differential Equations and Control Processes, Vol.32, No.1, 2025;
Mathematics serves as the fundamental basis for innovation, propelling technological advancement. In the forthcoming decade, the convergence of differential equations and control processes is poised to redefine the frontiers of scientific exploration. The integration of artificial intelligence and machine learning with differential equations is set to inaugurate a new era of problem-solving, enabling the extraction of latent physical insights and accelerating solution discovery. Multi-scale modeling, with its capacity to span disparate physical domains, has the potential to resolve long-standing puzzles in fields such as fluid mechanics and nanoscience. Furthermore, the integration of fractal geometry with differential equations holds the promise of novel perspectives for understanding and optimizing complex systems, ranging from urban landscapes to turbulent flows. The integration of artificial intelligence (AI) with control innovations is poised to play a pivotal role in the development of next-generation technologies, with the potential to transform diverse sectors such as medicine, communication, and autonomous systems. This paper explores these developments, highlighting their potential impacts and emphasizing the necessity for interdisciplinary collaboration to leverage their full potential.
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(This article belongs to the Special Issue Nonlinear Vibration Systems for MEMS Systems and Energy Harvesting)