Results 51 to 60 of about 252 (177)

OSCULATING CURVES ACCORDING TO THE EXTENDED DARBOUX FRAME IN E4

Journal of Science and Arts, 2023
In this paper, we define osculating curves according to the extended Darboux frame (ED-frame), in Euclidean 4-space. Then, according to Case 1 and Case 2 ED-frame fields, the necessary and sufficient condition for a unit speed curve lying on the hypersurface to be congruent to an osculating curve is obtained.
openaire   +1 more source

Analysis of Bifurcation, Chaos, and Multiplicative White Noise Intensity of the Stochastic Fractional Nonlinear mCGL Model in an Optical Communication System

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This manuscript studies the stochastic time fraction modified complex Ginzburg–Landau (SFmCGL) model, an essential dynamical nonlinear model for describing the physical nature of how the optical wave soliton behaves and changes over time in a dynamic optical communication system.
Hala Abd-Elmageed, Md. Mamunur Roshid, Shaimaa A. A. Ahmed, Mohamed Abdalla, Yusuf Gurefe   +4 more
wiley   +1 more source

A Discrete Mechanics Approach to the Cosserat Rod Theory—Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids

International Journal for Numerical Methods in Engineering, Volume 126, Issue 23, 15 December 2025.
ABSTRACT We apply the discrete mechanics approach to the discretisation of geometrically exact Cosserat rods. We consider discrete Cosserat rods defined on a vertex (or nodal) grid, as well as on a staggered grid, and provide a review and update of the results already obtained in Part I for the nodal model variant and, for the first time, present a ...
Holger Lang, Rodrigo T. Sato Martín de Almagro, Tengman Wang, Martina Stavole, Joachim Linn, Sigrid Leyendecker   +5 more
wiley   +1 more source

Transversal Intersection Curves of Two Surfaces in Minkowski 3-Space

Selecciones Matemáticas, 2018
In this paper, we study the differential geometry of the transversal intersection curve of two surfaces in Minkowski 3-space, where each pair satisfies the following types spacelike-lightlike, timelike-lightlike and lightlike-lightlike.
Osmar Alêssio, Sayed A.-N. Badr, Soad A. Hassan, Luciana A. Rodrigues, Fábio N. Silva, M. A. Soliman   +5 more
doaj   +1 more source

Dual Darboux Frame of a Spacelike Ruled Surface and Darboux Approach to Mannheim Offsets of Spacelike Ruled Surfaces [PDF]

Natural Science and Discovery, 2015
13 pages.
Onder, Mehmet, Ugurlu, H. Huseyin
openaire   +4 more sources

Disturbance Dynamics and Its Effects on Carbon in Human‐Impacted Mountain Forests in Northwestern Yunnan, China

Ecology and Evolution, Volume 15, Issue 9, September 2025.
Identifying and quantifying natural and anthropogenic disturbances at fine spatial scales is critical to assess the role of forests in climate change mitigation. Using tree rings, fire scars, satellite imagery, official records, and interviews, we reconstructed historical disturbances and identified fires, logging events, landslides, and icy ...
Zhongqian Cheng, Tuomas Aakala, Chengjun Ji, Markku Larjavaara   +3 more
wiley   +1 more source

Galileo's ship and the relativity principle

Noûs, Volume 59, Issue 3, Page 585-611, September 2025.
Abstract It is widely acknowledged that the Galilean Relativity Principle, according to which the laws of classical systems are the same in all inertial frames in relative motion, has played an important role in the development of modern physics. It is also commonly believed that this principle holds the key to answering why, for example, we do not ...
Sebastián Murgueitio Ramírez
wiley   +1 more source

Bertrand partner trajectories related to PAFORS [PDF]

Mathematica Bohemica
In this study, we consider the concept of Bertrand partner trajectories related to Positional Adapted Frame on Regular Surfaces (shortly PAFORS) for the particles moving on the different regular surfaces in Euclidean 3-space.
Zehra İşbilir, Kahraman Esen Özen, Murat Tosun   +2 more
doaj   +1 more source

DARBOUX FRAME OF VIVIANI’S CURVE

Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
This study investigates the differential geometric properties of Viviani's curve using the Darboux frame apparatus. Viviani's curve, a classical space curve arising from the intersection of specific surfaces, is examined from two distinct geometric perspectives: first as the intersection of a sphere and a circular cylinder, and second as the ...
openaire   +1 more source

Product of Exponentials (POE) Splines on Lie‐Groups: Limitations, Extensions, and Application to SO(3)$$ SO(3) $$ and SE(3)$$ SE(3) $$

International Journal for Numerical Methods in Engineering, Volume 126, Issue 14, 30 July 2025.
ABSTRACT Existing methods for constructing splines and Bézier curves on a Lie group G$$ G $$ involve repeated products of exponentials deduced from local geodesics, w.r.t. a Riemannian metric, or rely on general polynomials. Moreover, each of these local curves is supposed to start at the identity of G$$ G $$.
Andreas Müller
wiley   +1 more source