652 publications from this institution
Scosati studied experimentally length-biomass allometry in primary producers (vascular plants and unicellular microalgae), and found the allometric exponent (0.5, 95% confidence) differs significantly from the “universal” value, 0.25 suggested by Niklas and Enquist. Here, a geometrical similarity is proposed to elucidate Scosati’s findings.
Electrospinning is an amazing process that enables the production of primarily nanofiber membranes. Nevertheless, the mechanism underlying the formation of two-dimensional (2D) nonwoven structure remains a fascinating enigma. This paper presents a novel morphology of nanofiber membranes with a cluster structure that bears resemblance to the solar nebula. The mechanism of nanofiber cluster structures in the electrospinning process is elucidated through the geometric potential theory, which begins with a zero-dimensional receptor, progresses to a one-dimensional (1D) receptor, a 2D receptor, and ultimately culminates in a fractal-like lattice receptor. Moreover, a three-dimensional (3D) printing-like novel approach is presented for the manipulation of nanofiber membrane’s shape through the use of a lattice-structured receptor. The fabrication process of the cluster structure nanofiber membranes by electrospinning is presented, and their remarkable potential applications are discussed.
A modified Hodgkin–Huxley model is suggested by taking into account the size effect of ionic channels.
A transform is suggested in this paper to convert fractional differential equations with the modified Riemann-Liouville derivative into partial differential equations, and it is concluded that the fractional order in fractional differential equations is equivalent to the fractal dimension.
This paper highlights Li-He’s approach in which the enhanced perturbation method is linked with the parameter expansion technology in order to obtain frequency amplitude formulation of electrically actuated microbeams-based microelectromechanical system (MEMS). The governing equation is a second-order nonlinear ordinary differential equation. The obtained results are compared with the solution achieved numerically by the Runge-Kutta (RK) method that shows the effectiveness of this variation in the homotopy perturbation method (HPM).
The increasing intricacy of industrial systems highlights the inadequacies of conventional control theories in the management of high-dimensional nonlinear dynamics, real-time coupling, and multi-scale modelling. This article introduces a transformative paradigm—differential equation-driven intelligent control—that synergizes artificial intelligence (AI), quantum computing, and adaptive strategies to redefine next-generation industrial automation. The following innovations are at the core of this paradigm: Physics-informed neural networks (PINNs) for solving partial differential equations (PDEs), Quantum-enhanced linear algebra for stochastic differential equation (SDE) optimization, and symbolic regression for automated discovery of fractional-order dynamic models. A case study on flexible robotic arm dynamics demonstrates the tunability of hybrid rigid-flexible systems via fractional-order parameters and adaptive Lyapunov-based control. The concept of Equations as a Service (EaaS) is proposed to democratize access to distributed computational solvers, enabling real-time optimization for applications such as drone swarm coordination and carbon-neutral manufacturing. A number of critical challenges are addressed in this text, including the interpretability of AI (for example, through the use of SHAP-based explainability tools), the reliability of hybrid quantum-classical solvers, and ethical governance frameworks. Through interdisciplinary collaboration, the vision for self-evolving factories by 2030 is outlined—where differential equations autonomously refine parameters using real-time sensor data. Examples include smart grids adapting to renewable energy fluctuations at millisecond scales and robotic assembly lines recalibrating dynamics to mitigate material defects. The overarching objective of this paradigm shift, termed EaaS, is to transition differential equations from their traditional role as static descriptors to that of self-optimizing assets. This transition is expected to lay the foundation for resilient, explainable, and sustainable ecosystems in the era of Industry 5.0.
Wool fiber shows excellent advantages in warmth-retaining and many other practical properties possibly due to its hierarchical structure. Its fractal dimension of wool fiber is calculated which is very close to the Golden Mean, 1.618. The present study might provide a new interpretation for the reason why wool fiber has so many excellent properties.
Nanofiber membranes always have extremely high filter efficiency and remarkably low pressure drop. In order to further improve air permeability of bubbfil nanofiber membranes, the plasma technology is used for surface treatment in this paper. The results show that plasma treatment can improve air permeability by 4.45%. Under higher power plasma treatment, earthworm like etchings are produced on the membrane surface with fractal dimensions of about 1.138.
Via a semi-inverse method of establishing generalized variational principles, two families of variational principles and generalized variational principles for one-dimensional unsteady compressible flow in an imagine plane τ–Ψ (defined by τ=t,Ψ – path-function) have been deduced. The calculation domain in the image plane has the regular form of rectangle, which gives much advantage of utilizing variational-based FEM or other direct variational methods such as Kantrovich–FEM method to solve the problem.
No abstract is provided for this article.
This paper gives a short remark on variational principle for the fractal Telegraph equation [K. L. Wang, S. W. Yao, Y. P. Liu et al., Fractals 28(4) (2020) 2050058], the emphasis is put on temporal and spatial fractal derivatives and the derivation process of the fractal variational principle.
No abstract is provided for this article.
The stability of Steiner tree structure of explosion-proof textiles by studying on the tearing strength. We conclude that the Steiner tree structure has good stability.
No abstract is provided for this article.
The nano/microelectromechanical system (N/MEMS) has triggered worldwide concern, and its applications have revolutionized technologies in various advanced fields from wearable sensors, 5 G communication technology, to energy harvesting, to aerospace. However, when the applied force is sufficiently large, the pull-in instability arises, and reliable operation is forbidden. Therefore, it is extremely important to insight fast and accurately into the periodic motion of the system to prevent the system from its pull-in motion. The basic aim of this study is to demonstrate the applicability of the well-known variational iteration method (VIM) for predicting the dynamic behavior of N/MEMS. For this, a nanobeam-based microstructure with van der Waals force for actuation is used as an example to reveal its periodic properties. The governing equation for the oscillation of the microsystem is obtained from the Euler-Bernoulli beam principle, considering the midplane stretching effect. We then employ the Galerkin technique to transform the governing partial differential equation into an ordinary differential equation, which is highly nonlinear, making it extremely difficult to solve by some traditional analytical methods, however, the VIM shows its ability to elucidate accurately the basic properties of the N/MEMS by simple calculation. This paper offers a new road for fast and accurate prediction of the microsystem's properties, and the result can be used for optimizing the N/MEMS.•A nanobeam-based N/MEMS system with van der Waals force is considered.•A strongly governing equation without a linear term is obtained.•The variational iteration method is applied to figure out the basic properties of the system.
