Results 21 to 30 of about 75,869 (97)
Frenet-Serret description of gyroscopic precession [PDF]
, 1993 The phenomenon of gyroscopic precession is studied within the framework of the Frenet-Serret formalism adapted to quasi-Killing trajectories. Its relation to the congruence vorticity is high-lighted with particular reference to the irrotational ...
Iyer, B.R. +3 more
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The Frenet-Serret description of Born rigidity and its application to the Dirac equation
, 2021 The role played by non-inertial frames in physics is one of the most interesting subjects that we can study when dealing with a physical theory. This is especially true for special relativity and the Dirac theory In the case of special relativity, a ...
Formiga, J.B.
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On Geometric Phase Model in the Theory of Curves With Myller Configuration
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir +2 more
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Nonlinear Receding‐Horizon Differential Game for Drone Racing Along a Three‐Dimensional Path
International Journal of Robust and Nonlinear Control, Volume 36, Issue 15, Page 7177-7192, October 2026.ABSTRACT Drone racing requires high‐speed navigation through three‐dimensional paths, posing significant challenges in control engineering. Existing control methods lack a feedback control framework that simultaneously addresses nonlinear drone dynamics and multi‐agent competitive interactions, such as overtaking or obstructing opponents.
Kijin Sung +4 more
wiley +1 more source
, 2023 In this paper, we first define the vector product in a special analog Minkowski Geometry (R^3,) which is identified with the space of spatial hybrids. Next, we derive the Frenet-Serret frame formulae for a three dimensional non-parabolic curve by using ...
Akbıyık, Mücahit
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An Explicit Construction of Kaleidocycles by Elliptic Theta Functions
Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.ABSTRACT We study a configuration space consisting of ordered points on the two‐dimensional sphere satisfying a system of quadratic constraints. We construct explicit periodic orbits in the configuration space using elliptic theta functions. The constructed orbits simultaneously satisfy semi‐discrete analogues of the modified KdV and sine‐Gordon ...
Shizuo Kaji +2 more
wiley +1 more source
Chirality Transfer via Orientational Order of Micellar Assemblies on Gold Nanocrystals
Advanced Materials, Volume 38, Issue 24, 27 April 2026.A mechanism for chiral growth of Au nanocrystals mediated by orientational order of chiral micelles at seed surfaces is demonstrated. 3D electron microscopy and molecular dynamics simulations reveal how alignment of the micelles along crystal directions and torsion–orientation coupling govern chirality transfer, providing a framework to rationalize ...
Robin Girod +8 more
wiley +1 more source
Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3
, 2021 In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E3. It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface.
Soukaina Ouarab
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This research article presents minimal surfaces in the Euclidean 3−space according to the Frenet‐like curve frame (Flc‐frame). The proposed methodology involves studying the necessary and sufficient conditions for a surface M(s, t) to be a minimal surface according to the Flc‐frame.
Safaa Mosa +3 more
wiley +1 more source
, 2022 In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E3. It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface.
Soukaina Ouarab
core +1 more source