Null cubics and Lie quadratics

Article Properties
  • Language
    English
  • DOI (url)
    10.1063/1.1537461
  • Publication Date
    2003/03/01
  • Journal
    Journal of Mathematical Physics
  • Indian UGC (journal)
  • Refrences
    24
  • Citations
    33
  • Lyle Noakes School of Mathematics and Statistics, The University of Western Australia, Nedlands, Western Australia 6009, Australia
Abstract
Cite
Noakes, Lyle. “Null Cubics and Lie Quadratics”. Journal of Mathematical Physics, vol. 44, no. 3, 2003, pp. 1436-48, https://doi.org/10.1063/1.1537461.
Noakes, L. (2003). Null cubics and Lie quadratics. Journal of Mathematical Physics, 44(3), 1436-1448. https://doi.org/10.1063/1.1537461
Noakes L. Null cubics and Lie quadratics. Journal of Mathematical Physics. 2003;44(3):1436-48.
Journal Categories
Science
Mathematics
Science
Physics
You May Also Like
Refrences
Title Journal Journal Categories Citations Publication Date
Quadratic interpolation on spheres Advances in Computational Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2002
On the geometry of Riemannian cubic polynomials 2001
Elastic curves as solutions of Riemannian and sub-Riemannian control problems 2000
Accelerations of Riemannian quadratics 1999
The De Castlejau algorithm on Lie groups and spheres 1999
Refrences Analysis
Category Category Repetition
Science: Mathematics: Instruments and machines: Electronic computers. Computer science3
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods2
Science: Mathematics2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software2
Science: Science (General): Cybernetics: Information theory1
The category Science: Mathematics: Instruments and machines: Electronic computers. Computer science 3 is the most frequently represented among the references in this article. It primarily includes studies from Advances in Computational Mathematics The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
High-Order Splines on Riemannian Manifolds Proceedings of the Steklov Institute of Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
A second-order elastic flow for path planning in ℝ2

 Communications in Contemporary Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Optimal Control and Dynamical Systems

 Trudy Matematicheskogo Instituta imeni V.A. Steklova 1 2023
Riemannian cubics in quadratic matrix Lie groups Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2020
Magnetic trajectories in three‐dimensional Lie groups

 Mathematical Methods in the Applied Sciences
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 6 2019
Citations Analysis
Category Category Repetition
Science: Mathematics26
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods15
Science: Physics8
Technology: Mechanical engineering and machinery6
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software5
Science: Mathematics: Instruments and machines: Electronic computers. Computer science5
Technology: Engineering (General). Civil engineering (General)5
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks2
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
Technology: Photography1
The category Science: Mathematics 26 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Non-null Lie quadratics in E3 and was published in 2004. The most recent citation comes from a 2023 study titled High-Order Splines on Riemannian Manifolds. This article reached its peak citation in 2011, with 4 citations. It has been cited in 23 different journals. Among related journals, the Journal of Mathematical Physics cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year