A new integrable case on so(4)

Article Properties
  • Language
    English
  • DOI (url)
    10.1134/1.1433537
  • Publication Date
    2001/12/01
  • Journal
    Doklady Physics
  • Indian UGC (journal)
  • Refrences
    9
  • Citations
    22
  • A. V. Borisov
  • I. S. Mamaev
  • V. V. Sokolov
Journal Categories
Science
Physics
Technology
Engineering (General)
Civil engineering (General)
Mechanics of engineering
Applied mechanics
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Refrences
Title Journal Journal Categories Citations Publication Date
Новый интегрируемый случай для уравнений Кирхгофа Teoreticheskaya i Matematicheskaya Fizika 22 2001
10.1007/BF01205938 Communications in Mathematical Physics
  • Science: Mathematics
  • Science: Physics
 1986
A. V. Borisov, Reg. Chaot. Dyn. 1(2), 61 (1996). 1996
M. Adler and P. van Moerbeke, Adv. Math., Suppl. Stud. 9, 81 (1986). 1986
V. V. Kozlov and D. A. Onishchenko, Dokl. Akad. Nauk SSSR 266, 1298 (1982). 1982
Citations
Title Journal Journal Categories Citations Publication Date
Some compatible Poisson structures and integrable bi-Hamiltonian systems on four dimensional and nilpotent six dimensional symplectic real Lie groups Journal of Nonlinear Mathematical Physics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Physics
 1 2021
Noncompact Bifurcations of Integrable Dynamic Systems Journal of Mathematical Sciences 12 2020
Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra so(3, 1) Topology and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 12 2020
Invariant tori, action-angle variables, and phase space structure of the Rajeev-Ranken model

 Journal of Mathematical Physics
  • Science: Mathematics
  • Science: Physics
 3 2019
The Topology of Isoenergetic Surfaces for the Borisov–Mamaev–Sokolov Integrable Case on the Lie Algebra so(3, 1) Theoretical and Mathematical Physics
  • Science: Physics
  • Science: Mathematics
  • Science: Physics
 2018
Citations Analysis
Category Category Repetition
Science: Mathematics15
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods8
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics6
Science: Physics5
The category Science: Mathematics 15 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Топологические особенности интегрируемого случая Соколова на алгебре Ли $\mathrm{e}(3)$ and was published in 2011. The most recent citation comes from a 2021 study titled Some compatible Poisson structures and integrable bi-Hamiltonian systems on four dimensional and nilpotent six dimensional symplectic real Lie groups. This article reached its peak citation in 2017, with 3 citations. It has been cited in 15 different journals. Among related journals, the Regular and Chaotic Dynamics cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year