Results 161 to 170 of about 824,488 (198)

Geometry and evolution of Hasimoto surface in Minkowski 3-space. [PDF]

open access: yesPLoS One
Abdel-Aziz HS   +3 more
europepmc   +1 more source

The Frenet Frame as a Generalization of the Park Transform [PDF]

open access: yesIEEE Transactions on Circuits and Systems I: Regular Papers, 2023
The paper proposes a generalization of the Park transform based on the Frenet frame, which is a special set of coordinates defined in differential geometry for space curves. The proposed geometric transform is first discussed for three dimensions, which correspond to the common three-phase circuits.
Federico Milano
exaly   +4 more sources
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Cubic Helical Splines With Frenet-Frame Continuity

Computer Aided Geometric Design, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang Yong Han, Song-Hwa Kwon
exaly   +4 more sources

Bi-Hamiltonian Structure in Frenet–Serret Frame

Physica D: Nonlinear Phenomena, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hasan Gümral
exaly   +2 more sources

A Construction of Hyperbolic Spinors According to Frenet Frame in Minkowski Space

Journal of Dynamical Systems and Geometric Theories, 2015
AbstractIn this paper, spinors which consists of two hyperbolic components are introduced and hyperbolic spinor representation of the curve (spacelike or timelike) in Minkowski space is expressed. Then, the fundamental theorem of differential geometry has been restated by means of these hyperbolic spinors.
Tulay Erişir, Mehmet Ali Güngör
exaly   +3 more sources

GENERALIZED SMARANDACHE CURVES WITH FRENET-TYPE FRAME

2023
In this study, we investigate Smarandache curves with Frenettype frame in Myller configuration for Euclidean 3-space E 3 . Also, we introduce some characterizations and invariants of them. Then, we construct a numerical example with respect to these special Smarandache curves in order to understand the obtained materials.
Isbilir, Zehra, Tosun, Murat
openaire   +2 more sources

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