RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 145, Pages 86–94 (Mi into282)  

Dissipative Integrable Systems on the Tangent Bundles of $2$- and $3$-Dimensional Spheres

M. V. Shamolin

Lomonosov Moscow State University

Abstract: In this paper, we prove the explicit integrability of certain classes of dynamical systems on the tangent bundles of $2$- and $3$-dimensional spheres in the case where forces are fields with so-called variable dissipation.

Keywords: dynamical system, dissipation, transcendental first integral, integrability

Funding Agency Grant Number
Russian Foundation for Basic Research 15-01-00848-a
This work was partially supported by the Russian Foundation for Basic Research (project No. 15-01-00848-a).


Full text: PDF file (181 kB)

Bibliographic databases:

Document Type: Article
UDC: 517.9; 531.01
MSC: 34Cxx, 37E10, 37N05

Citation: M. V. Shamolin, “Dissipative Integrable Systems on the Tangent Bundles of $2$- and $3$-Dimensional Spheres”, Geometry and Mechanics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 145, VINITI, M., 2018, 86–94

Citation in format AMSBIB
\Bibitem{Sha18}
\by M.~V.~Shamolin
\paper Dissipative Integrable Systems on the Tangent Bundles of $2$- and~$3$-Dimensional Spheres
\inbook Geometry and Mechanics
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 145
\pages 86--94
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into282}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3824391}


Linking options:
  • http://mi.mathnet.ru/eng/into282
  • http://mi.mathnet.ru/eng/into/v145/p86

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Itogi Nauki i Tekhniki. Seriya "Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory" Itogi Nauki i Tekhniki. Seriya "Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory"
    Number of views:
    This page:32
    Full text:4
    First page:3

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019