Results 41 to 50 of about 1,762,917 (199)
Slow invariant manifolds as curvature of the flow of dynamical systems [PDF]
, 2014 Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space, it will be established in this article that the curvature of the flow, i.e.
Chua, Leon +2 more
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Smarandache Curves of the Evolute Curve According to Sabban Frame
Communications in Advanced Mathematical Sciences, 2020 The aim of this paper is to define Smarandache curves according to the Sabban frame belonging to the unit Darboux vector of spherical indicatrix curve of the evolute curve. Also, we calculate the geodesic curvatures of these curves.
Süleyman Şenyurt, Yasin Altun
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On the generalization of the Darboux theorem
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 Darboux theorem to more general context of Frechet manifolds we face an obstacle: in general vector fields do not have local flows. Recently, Fr\'{e}chet geometry has been developed in terms of projective limit of Banach manifolds.
Kaveh Eftekharinasab
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Darboux–Bäcklund transformations, dressing & impurities in multi-component NLS
Nuclear Physics B, 2017 We consider the discrete and continuous vector non-linear Schrödinger (NLS) model. We focus on the case where space-like local discontinuities are present, and we are primarily interested in the time evolution on the defect point. This in turn yields the
Panagiota Adamopoulou +2 more
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Relation between Darboux Instantaneous Rotation Vectors of Curves on Time-Like Surface [PDF]
Mathematical and Computational Applications, 1996 In this study, a fundamental relation, as a base for the geometry of the time-like surfaces, among the Darboux vectors of an arbitrary time-like curve (c) on a time-like surface and the parameter curves (c1) and (c2) in the Minkowski 3-space R13 was founded.
TOPAL, ALİ, UĞURLU, HASAN HÜSEYİN
openaire +2 more sources
Vector combined cnoidal wave and soliton solutions for a 3D partially nonlocal CNLSE
Results in Physics, 2023 A 3D distributed-coefficient coupled nonlinear Schrödinger equation(CNLSE) with the partially nonlocal nonlinearity(PNN) for locality in two transverse directions and non-locality in the longitudinal direction becomes the center of attention in this ...
Yu Zhu +4 more
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Null Darboux Curve Pairs in Minkowski 3-Space
Axioms, 2021 Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space.
Jinhua Qian +3 more
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Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds [PDF]
, 2014 Measure contraction property is one of the possible generalizations of Ricci curvature bound to more general metric measure spaces. In this paper, we discover sufficient conditions for a three dimensional contact subriemannian manifold to satisfy this ...
A Agrachev +37 more
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CONSTRUCTING SOME NEW FRAMES AND ASSOCIATED CURVES USING THE DARBOUX VECTOR FIELDS OF THE FLC-FRAME
Journal of Science and ArtsIn this paper, we define some new frames called the osculating Flc-frame, the normal Flc-frame, and the rectifying Flc-frame along a polynomial space curve using the Darboux vector of the Flc-frame and obtain the derivative equations according to these ...
B. U. Düldül
semanticscholar +1 more source
Lineability, spaceability, and additivity cardinals for Darboux-like functions [PDF]
, 2013 We introduce the concept of maximal lineability cardinal number, mL(M), of a subset M of a topological vector space and study its relation to the cardinal numbers known as: additivity A(M), homogeneous lineability HL(M), and lineability L(M) of M.
Aron +32 more
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