Results 51 to 60 of about 3,020 (154)

Lie symmetry analysis and conservation laws for the time fractional fourth-order evolution equation

上海师范大学学报. 自然科学版, 2017
In this paper, we study Lie symmetry analysis and conservation laws for the time fractional nonlinear fourth-order evolution equation. Using the method of Lie point symmetry, we provide the associated vector fields, and derive the similarity reductions ...
Wang Li, Tian Shoufu, Feng Lianli, Song Xiaoqiu   +3 more
doaj   +1 more source

From Flybys to Sample Return: A Review of Space Probes and Robotic Sampling Technologies for Small Bodies

Journal of Field Robotics, EarlyView.
ABSTRACT As a crucial puzzle piece of deep space exploration, exploring small bodies can provide significant scientific insights and valuable mineral resources. Unlike missions to the Moon and Mars, small‐body missions pose distinct technical challenges, including communication delays, weak gravity, and uncertain environments. This paper reviews a full
Xin Zhang, Hao Zhou, Dalin Zhou, Zhaojie Ju   +3 more
wiley   +1 more source

Lagrangian approach in spin-oscillations problem

Condensed Matter Physics, 2014
Lagrangian of electronic liquid in magneto-inhomogeneous micro-conductor has been constructed. A corresponding Euler-Lagrange equation has been solved. It was shown that the described system has eigenmodes of spin polarization and total electric current ...
P.V. Pyshkin, A.I. Kopeliovich, A.V. Yanovsky   +2 more
doaj   +1 more source

Key Technical Fields and Future Outlooks of Space Manipulators: A Survey

SmartBot, EarlyView.
This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen, Zeyuan Huang, Ying Yan, Xiaokang An, Zhikai Zhao, Jirong Lin, Xiangrong Zhao, Xianyuan Gao, Junyi Zong, Xuewen Jia, Zhipeng Yao, Jianliang Liao, Ning Ji   +12 more
wiley   +1 more source

On the Generalized Ulam-Gavruta-Rassias Stability of Mixed-Type Linear and Euler-Lagrange-Rassias Functional Equations

International Journal of Mathematics and Mathematical Sciences, 2007
In this paper, the mixed-type linear and Euler-Lagrange-Rassias functional equations introduced by J. M. Rassias is generalized to the following n-dimensional functional equation: f(∑i=1nxi)+(n−2)∑i=1nf(xi)=∑1≤i2.
Paisan Nakmahachalasint
doaj   +1 more source

A Stochastic Fractional Calculus with Applications to Variational Principles

Fractal and Fractional, 2020
We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations to stochastic processes.
Houssine Zine, Delfim F. M. Torres
doaj   +1 more source

Convergent Interval Confirmation for Three‐Step Discrete Specific Zeroing Neural Dynamics Illustrated With Repetitive Motion Planning of Redundant Manipulators

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Repetitive motion planning (RMP) for redundant manipulators with high convergent precision becomes an intense research topic due to its more degrees of freedom. In this paper, a specific zeroing neural dynamics (SZND) model for the RMP is first set up via zeroing neurodynamics.
Ying Kong, Shaoyuan Sun, Yunliang Jiang, Lin Wei   +3 more
wiley   +1 more source

Analogy between equilibrium beach profiles and closed universes

Physical Review Research, 2019
We reformulate the variational problem describing equilibrium beach profiles in the thermodynamic approach of Jenkins and Inman [J. Geophys. Res.: Oceans 111, C02003 (2006)10.1029/2005JC002899].
Valerio Faraoni
doaj   +1 more source

Diffusion of Characteristic Gases in Oil‐Immersed Transformer by Computational Fluid Dynamics Simulation and Experimental Verification

High Voltage, EarlyView.
ABSTRACT The complex diffusion of characteristic gases within oil‐immersed transformers significantly influences the timeliness between the fault occurrence and gas detection. So far, the gas transport processes and spatio‐temporal distributions remain inadequately understood.
Chunpeng Li, Yuan Li, Jianyi Wang, Zhengqin Zhou, Zhihao Liu, Zhiqiu Chen, Dongyang Zheng, Guanjun Zhang   +7 more
wiley   +1 more source

On the existence of H1-solutions to certain image registration problems

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009
The solubility of the class of nonlinear optimization problems arising in image regis­tration is discussed. The necessary optimility conditions (Euler-Lagrange equation) for such kind of problems is a nonlinear Neumann boundary value problem which is not
O. Museyko
doaj   +1 more source