Relevant bibliographies by topics / Frenet invariants

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Frenet invariants'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Frenet invariants"

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Yılmaz, Süha, and Yasin Unluturk. "On spherical indicatrices of curves in Galilean 4-space G₄." Journal of the Indonesian Mathematical Society 25, no. 2 (2019): 154–70. http://dx.doi.org/10.22342/jims.25.2.473.154-170.

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In this study, we indroduce spherical indicatrices of curves in four dimensional Galilean space. Moreover, we characterize these curves in terms of Frenet-Serret vector fields in four dimensional Galilean space. Frenet-Serret apparatus of these curves are obtained in terms of base curve's Frenet invariants. Additionally, some theorems are given regarding characterizations of spherical indicatrices of curves in four dimensional Galilean space.
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Önder, Mehmet, and H. Hüseyin Uğurlu. "Frenet frames and invariants of timelike ruled surfaces." Ain Shams Engineering Journal 4, no. 3 (2013): 507–13. http://dx.doi.org/10.1016/j.asej.2012.10.003.

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SİVAS, Selin, Süleyman ŞENYURT, and Abdussamet ÇALIŞKAN. "Smarandache Curves of Involute-Evolute Curve According to Frenet Frame." Fundamentals of Contemporary Mathematical Sciences 4, no. 1 (2023): 31–45. http://dx.doi.org/10.54974/fcmathsci.1152564.

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ŞENYURT, Süleyman, Kebire Hilal AYVACI, and Davut CANLI. "Smarandache Curves According to Flc-frame in Euclidean 3-space." Fundamentals of Contemporary Mathematical Sciences 4, no. 1 (2023): 16–30. http://dx.doi.org/10.54974/fcmathsci.1142404.

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The paper investigates some special Smarandache curves according to Flc-frame in Euclidean 3-space. The Frenet and Flc frame vectors, curvature and torsion of the new constructed curves are expressed by means of the initial curve invariants. For the sake of comparison in view, an example for Smarandache curves according to both Frenet and Flc frame is also presented at the end of paper.
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KAMRAN, NIKY, PETER OLVER, and KETI TENENBLAT. "LOCAL SYMPLECTIC INVARIANTS FOR CURVES." Communications in Contemporary Mathematics 11, no. 02 (2009): 165–83. http://dx.doi.org/10.1142/s0219199709003326.

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We consider curves in ℝ2n endowed with the standard symplectic structure. We introduce the concept of symplectic arc length for curves. We construct an adapted symplectic Frenet frame and we define 2n - 1 local differential invariants that we call symplectic curvatures of the curve. We prove that up to a rigid symplectic motion of ℝ2n, there exists a unique curve with prescribed symplectic curvatures. We characterize the curves in ℝ4 with constant symplectic curvatures.
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Ali, Ahmad. "Special Smarandache Curves in the Euclidean Space." International J.Math. Combin. Vol.2 (May 3, 2010): 30–36. https://doi.org/10.5281/zenodo.9392.

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Zhao, Qiming, Lin Yang, and Yongqiao Wang. "Geometry of Developable Surfaces of Frenet Type Framed Base Curves from the Singularity Theory Viewpoint." Symmetry 14, no. 5 (2022): 975. http://dx.doi.org/10.3390/sym14050975.

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In this paper, we consider Frenet type framed base curves that may have singular points and define one-parameter developable surfaces associated with such curves. By using the singularity theory, we classify the generic singularities of the developable surfaces, which are cuspidal edges and swallowtails. In order to characterize these singularities, two geometric invariants are discovered. At last, an example is given to demonstrate the main results.
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Şenyurt, Süleyman, and Abdussamet Çalışkan. "The quaternionic expression of ruled surfaces." Filomat 32, no. 16 (2018): 5753–66. http://dx.doi.org/10.2298/fil1816753s.

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In this paper, firstly, the ruled surface is expressed as a spatial quaternionic. Also, the spatial quaternionic definitions of the Striction curve, the distribution parameter, angle of pitch and the pitch are given. Finally, integral invariants of the closed spatial quaternionic ruled surfaces drawn by the motion of the Frenet vectors {t,n1,n2} belonging to the spatial quaternionic curve ? are calculated.
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Dinkova, Cvetelina, Radostina Encheva, and Aynur Ali. "One parametric representation of the generalized focal curve of a non-helical spherical curve." Mathematics and Education in Mathematics 54 (March 27, 2025): 039–45. https://doi.org/10.55630/mem.2025.54.039-045.

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In this paper, we establish relations between Frenet frames and differential-geometric invariants of a non-helical space curve in a three-dimensional Euclidean space and its closely related curve in a four-dimensional Euclidean space. The focal curve of the constructed four-dimensional curve is used to obtain a parametric representation of the generalized focal curve of a spherical curve.
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İşbilir, Zehra, Bahar Doğan Yazıcı, and Murat Tosun. "Generalized Rectifying Ruled Surfaces of Special Singular Curves." Analele Universitatii "Ovidius" Constanta - Seria Matematica 31, no. 3 (2023): 177–206. https://doi.org/10.2478/auom-2023-0038.

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Abstract In this study, generalized rectifying ruled surfaces of Frenet-type framed base curves in the three-dimensional Euclidean space are introduced. These surfaces are a generalization of not only the tangent and binormal surfaces of Frenet-type framed base curves, but also the tangent and binormal surfaces of regular curves. Additionally, we present some geometric characterizations and properties of these surfaces. Then, the singular point classes of the surface are scrutinized and the conditions for being a cross-cap surface are stated. Moreover, generalized rectifying surfaces are exami
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Dissertations / Theses on the topic "Frenet invariants"

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Lundgren, Martin. "Bending, Twisting and Turning : Protein Modeling and Visualization from a Gauge-Invariance Viewpoint." Doctoral thesis, Uppsala universitet, Teoretisk fysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-172358.

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Proteins in nature fold to one dominant native structure. Despite being a heavily studied field, predicting the native structure from the amino acid sequence and modeling the folding process can still be considered unsolved problems. In this thesis I present a new approach to this problem with methods borrowed from theoretical physics. In the first part I show how it is possible to use a discrete Frenet frame to define the discrete curvature and torsion of the main chain of the protein. This method is then extended to the side chains as well. In particular I show how to use the discrete Frenet
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Paula, Marcos Barros de. "Invariantes de frentes de ondas planas." Universidade Federal de Viçosa, 2010. http://locus.ufv.br/handle/123456789/4905.

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Made available in DSpace on 2015-03-26T13:45:32Z (GMT). No. of bitstreams: 1 texto completo.pdf: 1925307 bytes, checksum: 997942bc96f9ea8502e3844a314cbc0b (MD5) Previous issue date: 2010-04-30<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>This dissertation is devoted to the study of wave planar fronts following the work developed by Aicardi in [Ai1]. She finds theses invariantsas a generalization of those introduced by Arnold for plane curves by using the Vassiliev Theory. In this work, we study and describe Aicardi's invariants as well as their properties. Moreover, by u
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Hu, Shuangwei. "Application de la symétrie de jauge et de la théorie des solitons aux protéines repliées." Thesis, Tours, 2011. http://www.theses.fr/2011TOUR4038/document.

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Le but de cette thèse est d’étudier profondément le repliement des protéines, au moyendes concepts d’invariance de jauge et d’universalité. La structure de jauge émerge del’équation de Frenet qui est utilisée pour décrire la forme de la chaîne principale de laprotéine. Le principe d’invariance de jauge conduit à une fonctionnelle d’énergieeffective pour une protéine, développée dans le but d’extraire les propriétésuniverselles des protéines repliées durant la phase d’effondrement, et qui estcaractérisée par la loi d’échelle du rayon de giration au niveau tertiaire de la structureprotéique. Dan
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Bracco, Christian. "Histoire et Enseignement de la Physique : Lumière, Planètes, Relativité et Quanta." Habilitation à diriger des recherches, École normale supérieure de Cachan - ENS Cachan, 2010. http://tel.archives-ouvertes.fr/tel-00529686.

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Il est possible de concevoir un enseignement de la physique qui incorpore l'histoire de la physique sur un mode qui n'est ni anecdotique, ni autonome et qui peut être décliné à différents niveaux de la formation, des élèves de lycée aux enseignants à l'université. L'introduction du manuscrit porte sur une mise en perspective de la démarche proposée avec des recherches antérieures. Le manuscrit est composé de quatre parties. Dans la partie I, après avoir rappelé les objectifs qui ont prévalu à la réalisation du cédérom « Histoire des idées sur la lumière - de l'Antiquité au début du XXe siècle
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Books on the topic "Frenet invariants"

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From Frenet to Cartan: The Method of Moving Frames. American Mathematical Society, 2017.

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Muñoz, Francesc Imbernon. Les invariants pedagògiques i la pedagogia Freinet cinquanta anys després. EDITORIAL GRAO, 2010.

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Las invariantes pedagógicas y la pedagogía Freinet cincuenta años después. EDITORIAL GRAO, 2010.

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El Karoui, Noureddine. Algebraic geometry and matrix models. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.29.

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This article discusses the connection between the matrix models and algebraic geometry. In particular, it considers three specific applications of matrix models to algebraic geometry, namely: the Kontsevich matrix model that describes intersection indices on moduli spaces of curves with marked points; the Hermitian matrix model free energy at the leading expansion order as the prepotential of the Seiberg-Witten-Whitham-Krichever hierarchy; and the other orders of free energy and resolvent expansions as symplectic invariants and possibly amplitudes of open/closed strings. The article first desc
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Tretkoff, Paula. Algebraic Surfaces and the Miyaoka-Yau Inequality. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0005.

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This chapter discusses complex algebraic surfaces, with particular emphasis on the Miyaoka-Yau inequality and the rough classification of surfaces. Every complex algebraic surface is birationally equivalent to a smooth surface containing no exceptional curves. The latter is known as a minimal surface. Two related birational invariants, the plurigenus and the Kodaira dimension, play an important role in distinguishing between complex surfaces. The chapter first provides an overview of the rough classification of (smooth complex connected compact algebraic) surfaces before presenting two approac
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Iliopoulos, John. The Standard Theory. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198805175.003.0006.

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All ingredients of the previous chapters are combined in order to build a gauge invariant theory of the interactions among the elementary particles. We start with a unified model of the weak and the electromagnetic interactions. The gauge symmetry is spontaneously broken through the BEH mechanism and we identify the resulting BEH boson. Then we describe the theory known as quantum chromodynamics (QCD), a gauge theory of the strong interactions. We present the property of confinement which explains why the quarks and the gluons cannot be extracted out of the protons and neutrons to form free pa
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Deruelle, Nathalie, and Jean-Philippe Uzan. Matter in curved spacetime. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0043.

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This chapter is concerned with the laws of motion of matter—particles, fluids, or fields—in the presence of an external gravitational field. In accordance with the equivalence principle, this motion will be ‘free’. That is, it is constrained only by the geometry of the spacetime whose curvature represents the gravitation. The concepts of energy, momentum, and angular momentum follow from the invariance of the solutions of the equations of motion under spatio-temporal translations or rotations. The chapter shows how the action is transformed, no longer under a modification of the field configur
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Kachelriess, Michael. Hadrons, partons and QCD. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0018.

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This chapter first discusses the breaking of scale invariance of QCD with massless quarks by quantum corrections and explains that this effect is responsible for the bulk of hadron masses. Then the parton picture is introduced, where one replaces a hadron which is probed in a hard process by free quarks and gluons. Perturbative QCD describes via the DGLAP equations the evolution of parton distribution functions f(x,Q2) as functions of Q2, requires however as as input f(x,Q20) from measurements at a fixed scale Q0 »QCD. The total annihilation cross section e+e →hadrons is calculated and it is s
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Mercati, Flavio. A derivation of Shape Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789475.003.0009.

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By applying the principles of relational field theory to the gravitational field, and using 3D diffeomorphism invariance as our symmetry principle for best matching, it is feasible to reduce the working possibilities to just a few cases. One is a field-theory version of (GR), which is the limit of General Relativity in which the speed of light goes to infinity and the light cones open up to provide a notion of absolute simultaneity. Another is the opposite limit, dubbed ‘Carrollian Relativity’ by Levy–Leblond, in which the speed of light goes to zero and each point is causally isolated from th
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Akemann, Gernot, Jinho Baik, and Philippe Di Francesco, eds. The Oxford Handbook of Random Matrix Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.001.0001.

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This handbook showcases the major aspects and modern applications of random matrix theory (RMT). It examines the mathematical properties and applications of random matrices and some of the reasons why RMT has been very successful and continues to enjoy great interest among physicists, mathematicians and other scientists. It also discusses methods of solving RMT, basic properties and fundamental objects in RMT, and different models and symmetry classes in RMT. Topics include the use of classical orthogonal polynomials (OP) and skew-OP to solve exactly RMT ensembles with unitary, and orthogonal
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Book chapters on the topic "Frenet invariants"

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Mougeon, Raymond, Françoise Mougeon, and Katherine Rehner. "Chapter 5. Acquisition of 3 pl verb markings by (very) advanced FSL learners and bilingual Franco­phone students." In Language Acquisition and Language Disorders. John Benjamins Publishing Company, 2024. http://dx.doi.org/10.1075/lald.69.05mou.

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This study examines acquisition of distinctive 3pl markings of French verbs by bilingual Franco­phone students attending French-medium high schools in four Ontario Franco­phone communities of varying demographic strength and by learners enrolled in high school immersion or university FSL programs in Toronto. It documents the impact of the following factors: (i) the discursive frequency of the verbs; (ii) the students’ exposure to French in and outside of school, (iii) their individual frequency of use of French, (iv) teachers’ in class speech, and (v) invariant vs. variable use of the 3pl verb
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Weyman, Jerzy. "Some open problems in invariant Theory." In Free Resolutions in Commutative Algebra and Algebraic Geometry. A K Peters/CRC Press, 2023. http://dx.doi.org/10.1201/9781003420187-14.

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Terzíoğlu, T. "Some Invariants of Frechet Spaces and Imbeddings of Smooth Sequence Spaces." In Advances in the Theory of Fréchet Spaces. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2456-7_20.

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Kaliuzhnyi-Verbovetskyi, Dmitry, and Victor Vinnikov. "Similarity invariant envelopes and extension of nc functions." In Foundations of Free Noncommutative Function Theory. American Mathematical Society, 2014. http://dx.doi.org/10.1090/surv/199/11.

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Pousa, Claudio. "An Initial Assessment of Measurement Invariance in Sales Force Coaching: Comparing the French and Spanish Versions of Ellinger’s Coaching Measure." In Celebrating America’s Pastimes: Baseball, Hot Dogs, Apple Pie and Marketing? Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-26647-3_164.

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Li, Yanyan. "Invariants for Curves in Equiform Galilean Space." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2022. http://dx.doi.org/10.3233/faia220402.

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The paper studies invariants for curves in three dimensional equiform Galilean geometry. We obtain Lie algebra structure for equiform Galilean space and concrete expressions of curve invariants using Fels-Olver’s moving frame method. The corresponding relationship between Galilean invariants and equiform Galilean invariants for curves is received, the Frenet formula for curves in equiform Galilean space is also showed.
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Caldarelli, Guido. "Scale-invariance." In Scale-Free Networks. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199211517.003.0004.

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Poletto, Cecilia, and Jean-Yves Pollock. "On the Left Periphery of Some Romance Wh-Questions." In The Structure of CP and IP. Oxford University PressNew York, NY, 2004. http://dx.doi.org/10.1093/oso/9780195159486.003.0009.

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Abstract This chapter sketches out the fine structure of the left periphery of questions as it emerges from our ongoing research on French, Bellunese, and Italian wh-questions (see Pollock et al. 1999; Poletto and Pollock 1999, 2000; Pollock 2000). The two basic principles that have guided our inquiry are simply stated. The first is standard in comparative work in generative grammar; it claims that the considerable variation in spell-out sequences exhibited by the wh-configurations across (those three) languages is not random; rather, it can be profitably (re)analyzed as reflecting the interpl
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Gutfreund, Hanoch, and Jürgen Renn. "Physics and Geometry." In The Formative Years of Relativity. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174631.003.0004.

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This chapter concerns the ongoing debate about the meaning of Einstein's theory in the formative years, with particular attention to the relation between physics and geometry. It also compares Einstein's thinking on this issue with that of the French mathematician and philosopher Henri Poincaré and deals with the role of symmetry in the theory of relativity—one of Einstein's enduring legacies. The role of symmetry becomes evident, for instance, in the lecture on special relativity, in which it is shown how relativistic invariance, a symmetry property of the spacetime continuum, shapes Maxwell'
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Montgomery, Kathryn. "Medicine and the Limits of Knowledge." In How Doctors Think. Oxford University PressNew York, NY, 2005. http://dx.doi.org/10.1093/oso/9780195187120.003.0002.

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Abstract I set out to write a book about clinical judgment: how, given the uncertainty of its knowledge, medicine is taught and practiced and how its identification with science affects both patients and physicians. Before I was well into it, my 28-year-old daughter found a breast lump and had an excisional biopsy. Physical symptoms are read narratively, contextually, and interpreted in cultural systems. A physician’s diagnosis is a plot summary of a socially constructed pathophysiological sequence of events. The lump is there. It is a sign, caught in medias res, a clue to a natural history th
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Conference papers on the topic "Frenet invariants"

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Forbes, Andrew. "Optical Topologies in Turbulence." In 3D Image Acquisition and Display: Technology, Perception and Applications. Optica Publishing Group, 2024. https://doi.org/10.1364/3d.2024.jtu1c.1.

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Light can be imbued with a topology, but is the topological invariant immune to turbulence? Here I outline how to find invariants in light's degrees of freedom for noise-free communication through turbulence. Full-text article not available; see video presentation
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Peters, Cade, Asher Klug, and Andrew Forbes. "Invariant states of complex light through atmospheric turbulence." In Frontiers in Optics. Optica Publishing Group, 2024. https://doi.org/10.1364/fio.2024.fth3e.5.

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Bugday, Batin, Umberto Saetti, Joseph F. Horn, and Ashish Kumar Manjhi. "Validation of a State-Space Free Wake Model with a Near-Wake Vortex Lattice Model." In Vertical Flight Society 81st Annual Forum and Technology Display. The Vertical Flight Society, 2025. https://doi.org/10.4050/f-0081-2025-155.

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This paper presents the implementation and validation of a state-space free-vortex wake model with a vortex lattice near-wake formulation, developed for rotorcraft applications. The model is expressed in state-variable form as a nonlinear time-periodic (NLTP) system in first-order structure, enabling linearization and simplification through time-invariant systems theory and model-order reduction techniques. It is applied to a UH-60-like rotor and evaluated in hover, forward flight, and vortex ring state (VRS) conditions. Two configurations are considered: one with tip vortex dynamics only, and
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Manjhi, Ashish Kumar, Joseph Horn, and Umberto Saetti. "A Linear Parameter-Varying Finite State Inflow Model Derived from a Free Vortex Wake Model." In Vertical Flight Society 81st Annual Forum and Technology Display. The Vertical Flight Society, 2025. https://doi.org/10.4050/f-0081-2025-382.

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This paper demonstrates extraction of linear models from a state-space free wake model by applying analytical linearization, extending the research presented in (Ref. 1). Two distinct Linear Time Invariant (LTI) models are developed: the first is a high-order LTI model derived from the direct conversion of the analytical Linear Time Periodic (LTP) model, and the second is a reduced-order LTI model generated by first applying the Proper Orthogonal Decomposition (POD) model order reduction technique to the LTP model, followed by conversion. In both cases, the LTP-to-LTI conversion is achieved us
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Manjhi, Ashish, Umberto Saetti, and Joseph Horn. "Analytical Linearization of a State-Space Free Vortex Wake Model." In Vertical Flight Society 80th Annual Forum & Technology Display. The Vertical Flight Society, 2024. http://dx.doi.org/10.4050/f-0080-2024-1254.

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This paper presents the development and application of analytical linearization of a State-Space Free Vortex Wake Model. Previous work developed a state-space free wake model that could be numerically linearized via finite differences into a Linear Time Periodic (LTP) system, but the numerical linearization process was computationally expensive. An improved method is developed that uses exact analytical linearization of the Biot-Savart Law. The analytical method is found to speed up linearization computations by O(N), where N is the number of free wake nodes. A simple decoupled wake model is u
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Souza, D. E. F., W. W. Bose Filho, G. A. Martiniano, M. T. P. Paes, J. E. S. Leal, and S. D. Franco. "Heat Treatment and Notch Severity Effects on the UNS N07718 Alloy Susceptibility to Hydrogen Embrittlement Evaluated by the ISL Method." In CORROSION 2021. AMPP, 2021. https://doi.org/10.5006/c2021-16291.

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Abstract Bolts and stud bolts produced from UNS N07718 are used for subsea applications in the oil and gas industry. These components are commonly connected to cathodic protection systems to avoid corrosion degradation, but it can result in free hydrogen formation on the metal surface, and its subsequent adsorption and diffusion may lead to premature fracture. The present study investigated the influence of different UNS N07718 microstructures, obtained according to the API 6A CRA and ASTM B637 standards, on the hydrogen embrittlement susceptibility. For this purpose, a modified Incremental St
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Cui, Lei, and Delun Wang. "A Euclidean Invariants Based Study of Circular Surfaces With Fixed Radius." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34466.

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In this paper a complete system of Euclidean invariants is presented to study circular surfaces with fixed radius. The study of circular surfaces is simplified to the study of two curves: the spherical indicatrix of the unit normals of circle planes and the spine curve. After the geometric meanings of these Euclidean invariants are explained, the distribution parameter of a circular surface is defined. If the value of the distribution parameter of a circular surface is 0, the circular surface is a sphere. Then the relationship between the moving frame {E1, E2, E3} and the Frenet frame {t, n, b
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Bao, Jialu, Nitesh Trivedi, Drashti Pathak, Justin Hsu, and Subhajit Roy. "Data-Driven Invariant Learning for Probabilistic Programs (Extended Abstract)." In Thirty-Second International Joint Conference on Artificial Intelligence {IJCAI-23}. International Joint Conferences on Artificial Intelligence Organization, 2023. http://dx.doi.org/10.24963/ijcai.2023/712.

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The weakest pre-expectation framework from Morgan and McIver for deductive verification of probabilistic programs generalizes binary state assertions to real-valued expectations to measure expected values of expressions over probabilistic program variables. While loop-free programs can be analyzed by mechanically transforming expectations, verifying programs with loops requires finding an invariant expectation. We view invariant expectation synthesis as a regression problem: given an input state, predict the average value of the post-expectation in the output distribution. With this perspectiv
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Davis, Jeffrey A., Don M. Cottrell, and Linnea R. York. "Rotationally invariant Fresnel lens-encoded circular-harmonic binary phase-only filters." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.thtt6.

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Rotation-invariant pattern recognition can be performed by encoding the Fourier transform of a circular-harmonic (CH) component of the reference pattern. This technique has recently been applied to a binary phase-only version of the filter (BPOF). However, the recording medium is not capable of recording the complex Fourier transform. A cosine CH BPOF is obtained by encoding binary versions of the real part of the CH filter and a sine CH BPOF is obtained by encoding binary versions of the imaginary part. Rotation invariance is lost when either of these filters is used alone. However, by succes
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Romeo, Francesco, and Achille Paolone. "Propagation Properties of Three-Coupled Periodic Mechanical Systems." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85617.

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Abstract:
General three-coupled periodic systems are dealt with by means of transfer matrices of single units. The solutions of the associated characteristic equation are discussed in terms of invariant quantities by exploiting the well-known reversibility of its coefficients. An exhaustive description of the free wave propagation patterns is given on the invariants’ space where propagation domains with qualitatively different character are identified. Afterwards, two three-coupled periodic mechanical models are considered: pipes and truss beams. A nonlinear mapping from the invariants’ space to the phy
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Reports on the topic "Frenet invariants"

1

Lising, Laura Jean. Time reversal invariance - a test in free neutron decay. Office of Scientific and Technical Information (OSTI), 1999. http://dx.doi.org/10.2172/760390.

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2

Leonard, Naomi E., and P. S. Krishnaprasad. Motion Control of Drift-Free, Left-Invariant Systems on Lie Groups. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada453131.

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