Non-Classical Conjugate Vectors and Polar Differential Equations of Rotation in Orientation Problem

被引：0

作者：

Panov, Anatoly P. ^{[1
]}

Tsysarzh, Vjacheslav V. ^{[2
]}

机构：

[1] Acad Nav & Mot Control, Kiev, Ukraine

[2] Natl Tech Univ Ukraine KPI, Kiev, Ukraine

来源：

2012 2ND INTERNATIONAL CONFERENCE METHODS AND SYSTEMS OF NAVIGATION AND MOTION CONTROL (MSNMC) | 2012年

关键词：

Rotation vectors; the equation of rotation; orientation;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Kinematic and dynamic differential equations of rotation of a rigid body for the "non-classical" conjugate three-dimensional vectors of rotation are considered in this article. The vectors modules contain tangent and cotangent of one-fourth of the rotation angle. This paper also delivers applications of the conjugate equations in the problems of orientation of a rigid body.

引用

页码：147 / +

页数：2

共 50 条

[31] THE NON-CLASSICAL ION PROBLEM - 20 YEARS LATER
BROWN, HC
PURE AND APPLIED CHEMISTRY, 1982, 54 (10) : 1783 - 1796
[32] Non-classical heat conduction problem with nonlocal source
Mahdi Boukrouche
Domingo A Tarzia
Boundary Value Problems, 2017
[33] An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations
Chaolu, Temuer
Bluman, G.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 411 (01) : 281 - 296
[34] A NON-CLASSICAL VARIATIONAL PROBLEM ARISING FROM AN OPTIMAL FILTER PROBLEM
BERKOVIT.LD
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1967, 26 (04) : 281 - &
[35] Structures of non-classical discontinuities in solutions of hyperbolic systems of equations
Kulikovskii, A. G.
Chugainova, A. P.
RUSSIAN MATHEMATICAL SURVEYS, 2022, 77 (01) : 47 - 79
[36] The Singular Perturbation Problem for a Class of Generalized Logistic Equations Under Non-classical Mixed Boundary Conditions
Fernandez-Rincon, Sergio
Lopez-Gomez, Julian
ADVANCED NONLINEAR STUDIES, 2019, 19 (01) : 1 - 27
[37] Non-Classical Symmetry Analysis of a Class of Nonlinear Lattice Equations
Li, Wenting
Chen, Yueting
Jiang, Kun
SYMMETRY-BASEL, 2023, 15 (12):
[38] Stimulation of non-classical receptive field enhances orientation selectivity in the cat
Chen, G
Dan, Y
Li, CY
JOURNAL OF PHYSIOLOGY-LONDON, 2005, 564 (01): : 233 - 243
[39] On separability of a differential operator of non-classical type in an unbounded domain
Muratbekov, Mussakan
Igisinov, Sabit
Shyrakbaev, Abai
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
[40] On separability of non-classical type differential operator in an unbounded domain
Muratbekov, M. B.
Igisinov, S. J.
Shyrakbaev, A. B.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2016, 82 (02): : 95 - 106

← 1 2 3 4 5 →