Article
Computer Science, Software Engineering
David Desobry, Yoann Coudert-Osmont, Etienne Corman, Nicolas Ray, Dmitry Sokolov
Summary: The method proposed in this study is a new approach for designing direction fields on surface and volumetric meshes with support for non-orthogonality. It is a generalization of 3D cross fields representation in spherical harmonic basis, allowing for meaningful smoothness measurement and orientation constraints. This method demonstrates applicability in generating anisotropic quadrangular and hexahedral meshes, particularly beneficial for remeshing CAD models.
COMPUTER-AIDED DESIGN
(2021)
Article
Robotics
Adriano M. C. Rezende, Vinicius M. Goncalves, Luciano C. A. Pimenta
Summary: This work presents a methodology for computing an artificial time-varying vector field in $n$ dimensions that defines trajectories converging to a desired curve. The methodology is validated through convergence proofs and the demonstration of ultimate bounds in the presence of bounded disturbances. Simulations and experiments with a quadrotor are presented to validate the methodology.
IEEE TRANSACTIONS ON ROBOTICS
(2022)
Article
Mathematics, Applied
Daniel Gonzalez-Campos, Marco Antonio Perez-de la Rosa, Juan Bory-Reyes
Summary: This article investigates the behavior of generalized Laplacian vector fields on a Jordan domain of R-3 with a fractal boundary. The main focus is on the decomposition of a Holder continuous vector field on the boundary and the conditions for a Holder continuous vector field to be the trace of a generalized Laplacian vector field in the domain.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2021)
Article
Mathematics, Applied
Tiago Novello, Joao Paixao, Carlos Tomei, Thomas Lewiner
Summary: This paper introduces the concept of discrete line fields and derives some basic results through the study of discrete line fields, including the Euler-Poincare formula, Morse-Smale decomposition, and topologically consistent cancellation of critical elements, which allows for topological simplification of the original discrete line field.
TOPOLOGY AND ITS APPLICATIONS
(2021)
Article
Computer Science, Information Systems
Lele Chu, Bo Ai, Yubo Wen, Qingtong Shi, Huadong Ma, Wenjun Feng
Summary: This method proposes a Lagrangian visualization method based on spatio-temporal interpolation to improve the feature expression of wind field visualization. By fusing the particle system with time-varying wind data, continuous and dense wind field data is obtained through linear interpolation. Lagrangian analysis and nonlinear color mapping are also applied to optimize the visualization effect.
ISPRS INTERNATIONAL JOURNAL OF GEO-INFORMATION
(2023)
Article
Green & Sustainable Science & Technology
Seyedeh Fatemeh Razmi, Marjan Heirani Moghadam, Mehdi Behname
Summary: This study examines the impact of monetary policy on renewable energy generation in Iran. The results show that only a shock to money supply can affect all three types of renewable energy generation.
Article
Computer Science, Information Systems
Jie Gao, Shan Zhang, Lian Zhao, Xuemin Shen
Summary: In this paper, a dynamic probabilistic caching design is proposed to address the scenario of varying content popularity over time. It aims to find optimal content caching probabilities based on average content popularity and adapt to time-varying instantaneous content popularity. The design involves novel dynamic content replacement and modeling the problem as finding the state transition probability matrix of a Markov chain, with extensive numerical results validating its effectiveness.
IEEE TRANSACTIONS ON MOBILE COMPUTING
(2021)
Article
Engineering, Civil
Dong Liu, Guo Yao
Summary: The study of the stability and vibration characteristics of devices entering the finite airflow field is important in engineering practice. This study establishes the governing equation of a plate entering the finite airflow field and investigates the variations of natural frequencies and displacement time response to study the stability and vibration properties of the system. Different system parameters have significant impacts on the stability and vibration characteristics.
THIN-WALLED STRUCTURES
(2022)
Article
Computer Science, Artificial Intelligence
Rashi Gupta, Satyasai Jagannath Nanda
Summary: This paper addresses a dynamic many-objective traveling salesman problem (DMaTSP) and proposes a prediction-based dynamic many-objective optimization technique called Dynamic theta-non-dominated Sorting Genetic Algorithm III (D theta-NSGA-III). The algorithm combines the fundamentals of NSGA-III and vector angle-based evolutionary algorithm to achieve faster convergence to the new global optimum using a prediction set. Various prediction strategies are analyzed, and the algorithm is validated and compared using benchmark functions.
APPLIED SOFT COMPUTING
(2022)
Article
Food Science & Technology
Fei Guo, Kun Qian, Xin Li, Hao Deng
Summary: In this study, an improved simulation model was proposed to assess the transmembrane potential evolution on the cellular membrane exposed to time-varying magnetic fields (TMFs). The model predicted the occurrence of electroporation by introducing the Smoluchowski function. The results showed that nanosecond pulses were more likely to induce electroporation compared to sub-microsecond pulses.
INNOVATIVE FOOD SCIENCE & EMERGING TECHNOLOGIES
(2022)
Article
Mathematics, Applied
Fabio Scalco Dias, Luis Fernando Mello
Summary: The first part of the article explores polynomial vector fields of arbitrary degree in R3 with algebraic surfaces of revolution invariant by their flows, while the second part focuses specifically on the case where the algebraic surface of revolution is a cubic surface. The study characterizes all possible configurations of invariant meridians and parallels that the vector fields can exhibit, and also considers when the invariant parallels can become limit cycles, with results adaptable to the general surfaces studied in the first part.
RESULTS IN MATHEMATICS
(2021)
Article
Astronomy & Astrophysics
O. Diatlyk
Summary: This study extends classic results about the energy-momentum tensor near an evaporating black hole by considering a massive scalar field in a two-dimensional space with a thin shell collapse. The research shows that the WKB approximation is valid outside the shell when mr(g) >>1, and the radiation near the shell and at spatial infinity exhibits thermal characteristics with Hawking temperature. The negative flux T-vv near the shell is similar to the classic result in the massless case.
Article
Mathematics
Freddy Dumortier
Summary: This study proves a flow box theorem for smooth 2-dimensional slow-fast vector fields, providing a simple normal form without changing the time. The concept of 2d slow-fast diffeomorphism and the definition of the log-determinant integral are introduced to prove a normal form theorem similar to the flow box theorem for slow-fast vector fields. The normal form is used to demonstrate the relevance of the log-determinant integral.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2022)
Article
Mathematics, Applied
Yuqian Lin, Guangming Zhuang, Wei Sun, Junsheng Zhao, Yuming Chu
Summary: This paper discusses the design of a resilient H-infinity dynamic output feedback controller for uncertain stochastic jump systems with time-varying delays. The improved conditions for the existence of the controller are provided using linear matrix inequalities. The effectiveness and correctness of the method are demonstrated through numerical examples and an industrial non-isothermal continuous stirred tank reactor.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Physics, Applied
M. H. Mostafa, N. Ha-Van, P. Jayathurathnage, X. Wang, G. Ptitcyn, S. A. Tretyakov
Summary: The Chu limit restricts the operational bandwidth of resonant circuits due to the size limitation of the resonator. This limitation hinders the miniaturization of antennas, as their bandwidth is inversely proportional to their size. To overcome this, we propose the use of slow time modulation of resistive elements to engineer the bandwidth of small antennas. The modulation of resistance induces a virtual impedance that can be fully controlled by modulation parameters and optimize the frequency response of a resonant circuit.
APPLIED PHYSICS LETTERS
(2023)