Results 21 to 30 of about 19,232 (304)

Doubly Exotic Nth-Order Superintegrable Classical Systems Separating in Cartesian Coordinates

Symmetry, Integrability and Geometry: Methods and Applications, 2022
Superintegrable classical Hamiltonian systems in two-dimensional Euclidean space $E_2$ are explored. The study is restricted to Hamiltonians allowing separation of variables $V(x,y)=V_1(x)+V_2(y)$ in Cartesian coordinates. In particular, the Hamiltonian $\mathcal H$ admits a polynomial integral of order $N>2$.
Yurduşen, İsmet, Escobar-Ruiz, Adrián Mauricio, Palma y Meza Montoya, Irlanda   +2 more
openaire   +2 more sources

Gyroscopically Stabilized Robot: Balance and Tracking

International Journal of Advanced Robotic Systems, 2004
The single wheel, gyroscopically stabilized robot - Gyrover, is a dynamically stable but statically unstable, underactuated system. In this paper, based on the dynamic model of the robot, we investigate two classes of nonholonomic constraints associated ...
Yongsheng Ou, Yangsheng Xu
doaj   +1 more source

Expression of GNSS Positioning Error in Terms of Distance

Promet (Zagreb), 2018
This manuscript analyzes two methods for Global Navigation Satellite System positioning error determination for positioning performance assessment by calculation of the distance between the observed and the true positions: one using the Cartesian 3D ...
Mia Filić, Renato Filjar, Marko Ševrović   +2 more
doaj   +1 more source

A Novel Design of Permanent Magnet Linear Synchronous Motor with Reduced End Effect [PDF]

Journal of Electromagnetic Engineering and Science, 2023
In response to the end effect of the permanent magnet linear synchronous motor, this paper proposes an improved modular motor structure. To compute its electromagnetic characteristics, a subdomain model that converts the Cartesian coordinate system into ...
Qingle Wu, Liqun Wang, Guolai Yang, Enling Tang, Lei Li, Ahmed Al-Zahrani   +5 more
doaj   +1 more source

A Method of Calculating Principal Stress Trajectories in Powder and Porous Materials Obeying a Piece-wise Linear Yield Criterion

MATEC Web of Conferences, 2018
The present paper deals with the system of equations comprising the pyramid yield criterion together with the stress equilibrium equations under plane strain conditions.
Alexandrov Sergei, Lyamina Elena, Date Prashant   +2 more
doaj   +1 more source

Fourth order superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials [PDF]

Journal of Physics A: Mathematical and Theoretical, 2017
A study is presented of two-dimensional superintegrable systems separating in Cartesian coordinates and allowing an integral of motion that is a fourth order polynomial in the momenta. All quantum mechanical potentials that do not satisfy any linear differential equation are found. They do however satisfy nonlinear ODEs.
Marquette, Ian, Sajedi, Masoumeh, Winternitz, Pavel   +2 more
openaire   +3 more sources

Using of Parallel Coordinates in Finding Minimum Distance in Time-Space

Communications, 2019
Airspace domain may be represented by a time-space consisting of a three-dimensional Cartesian coordinate system and time as the fourth dimension. A coordinate system provides a scheme for locating points given its coordinates and vice versa.
Olga Blazekova, Maria Vojtekova
doaj   +1 more source

Simplified method for analytically determining the external magnetostatic field of uncertain extended technical objects based on near-field measurements

Electrical engineering & Electromechanics
Introduction. An important scientific and technical problem of magnetism of uncertain extended energy-saturated objects - such as naval vessels and submarines is implementation of strict requirements for magnetic silence based on mathematical modeling of
B. I. Kuznetsov, T. B. Nikitina, I. V. Bovdui, K. V. Chunikhin, V. V. Kolomiets, I. V. Nefodova   +5 more
doaj   +1 more source

Robotic Arm Position Computing Method in the 2D and 3D Spaces

Actuators, 2023
This paper presents a method on how to compute the position of a robotic arm in the 2D and 3D spaces. This method is slightly different from the well-known methods, such as forward or inverse kinematics.
Roland Szabo, Radu-Stefan Ricman
doaj   +1 more source

Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2020
We consider superintegrability in classical mechanics in the presence of magnetic fields. We focus on three-dimensional systems which are separable in Cartesian coordinates. We construct all possible minimally and maximally superintegrable systems in this class with additional integrals quadratic in the momenta.
Marchesiello, Antonella, Šnobl, Libor
openaire   +2 more sources