Results 51 to 60 of about 245,826 (285)

Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation

, 2011
We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation.
A. M. Polyakov, A. M. Polyakov, E. B. Bogomol’nyi, E. B. Bogomol’nyi, G. M. Murphy, Hironobu Kihara, N. H. Abel   +6 more
core   +1 more source

A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems

Journal of Applied Mathematics, 2013
In this paper, we propose an iterative spectral method for solving differential equations with initial values on large intervals. In the proposed method, we first extend the Legendre wavelet suitable for large intervals, and then the Legendre-Guass ...
A. Karimi Dizicheh, F. Ismail, M. Tavassoli Kajani, Mohammad Maleki   +3 more
doaj   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

Advanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun, Liang Zhang, Jianwen Zeng, Xuefeng Wang   +3 more
wiley   +1 more source

A State‐Adaptive Koopman Control Framework for Real‐Time Deformable Tool Manipulation in Robotic Environmental Swabbing

Advanced Robotics Research, EarlyView.
This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi, Amirreza Davar, Dongyi Wang   +2 more
wiley   +1 more source

Algebraic treatment of the Pais-Uhlenbeck oscillator and its PT-variant

, 2019
The algebraic method enables one to study the properties of the spectrum of a quadratic Hamiltonian through the mathematical properties of a matrix representation called regular or adjoint.
Fernández, Francisco M.
core   +1 more source

A Numerical Method for a System of Fractional Differential-Algebraic Equations Based on Sliding Mode Control

Mathematics, 2020
Fractional calculus is widely used in engineering fields. In complex mechanical systems, multi-body dynamics can be modelled by fractional differential-algebraic equations when considering the fractional constitutive relations of some materials.
Yongpeng Tai, Ning Chen, Lijin Wang, Zaiyong Feng, Jun Xu   +4 more
doaj   +1 more source

Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System

Advanced Science, EarlyView.
A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu, Bowen Zhu, Shicheng Zhang, Keren Li, Xianchen Wu, Yazhi Pi, Jie Yan, Daigao Chen, Bingli Guo, Xi Xiao, Lei Wang, Xiaochuan Xu, Xuwei Xue, Shanguo Huang, Zizheng Cao, Shaohua Yu   +15 more
wiley   +1 more source

Construction of Special Solutions for Nonintegrable Systems

, 2006
The Painleve test is very useful to construct not only the Laurent series solutions of systems of nonlinear ordinary differential equations but also the elliptic and trigonometric ones. The standard methods for constructing the elliptic solutions consist
Ablowitz M J, Antonov V A, Barrow J D, Chang Y F, Chang Y F, Conte R, Conte R, Conte R, Davenport J H, DeWolfe O, Fan E, Golubev V V, Gremm M, Grimshaw R, Hone A N W, Hénon M, Kokubun F, Kowalevski S, Melkonian S, Murray C D, Musette M, Podolský Ji, Porubov A V, Santos G S, Timoshkova E I, Verhoeven C, Verhoeven C, Vernov S Yu, Weiss J, Weiss J, Yomba E   +30 more
core   +1 more source

Abundant families of solutions for (4+1)-dimensional Fokas fractional differential equation using New sub-equation method

Scientific African
: The current article aims to analytically solve the conformable space-time fractional Fokas (CSTFF) equation in (4+1) dimensions. The new sub-equation method is applied to achieve this purpose.
A. S. Rashed, A. N. M. Mostafa, S. M. Mabrouk   +2 more
doaj   +1 more source

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source