RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






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


TMF, 2007, Volume 153, Number 1, Pages 18–28 (Mi tmf6118)  

This article is cited in 2 scientific papers (total in 2 papers)

Dynamical principle

V. P. Pavlova, V. M. Sergeevb

a Steklov Mathematical Institute, Russian Academy of Sciences
b Moscow State Institute of International Relations (University) of the Ministry for Foreign Affairs of Russia

Abstract: We suggest a formulation of the dynamical principle for mechanics in which time is not a preferred evolution parameter but plays the role of a new generalized coordinate. The advantage of this approach is the possibility of extending it to dynamical systems in which there is no natural evolution parameter (thermodynamics, equilibrium economics, and the like).

Keywords: dynamical system, variational principle, Cartan–Liouville form, symplectic structure

DOI: https://doi.org/10.4213/tmf6118

Full text: PDF file (357 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2007, 153:1, 1364–1372

Bibliographic databases:

Document Type: Article
Received: 20.11.2006

Citation: V. P. Pavlov, V. M. Sergeev, “Dynamical principle”, TMF, 153:1 (2007), 18–28; Theoret. and Math. Phys., 153:1 (2007), 1364–1372

Citation in format AMSBIB
\Bibitem{PavSer07}
\by V.~P.~Pavlov, V.~M.~Sergeev
\paper Dynamical principle
\jour TMF
\yr 2007
\vol 153
\issue 1
\pages 18--28
\mathnet{http://mi.mathnet.ru/tmf6118}
\crossref{https://doi.org/10.4213/tmf6118}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2402233}
\zmath{https://zbmath.org/?q=an:1145.37031}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2007TMP...153.1364P}
\elib{http://elibrary.ru/item.asp?id=9918145}
\transl
\jour Theoret. and Math. Phys.
\yr 2007
\vol 153
\issue 1
\pages 1364--1372
\crossref{https://doi.org/10.1007/s11232-007-0120-2}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000250783100002}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35448997344}


Linking options:
  • http://mi.mathnet.ru/eng/tmf6118
  • https://doi.org/10.4213/tmf6118
  • http://mi.mathnet.ru/eng/tmf/v153/i1/p18

    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

    This publication is cited in the following articles:
    1. V. P. Pavlov, V. M. Sergeev, “Thermodynamics from the differential geometry standpoint”, Theoret. and Math. Phys., 157:1 (2008), 1484–1490  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. V. P. Pavlov, V. M. Sergeev, “Fluid dynamics and thermodynamics as a unified field theory”, Proc. Steklov Inst. Math., 294 (2016), 222–232  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  • Number of views:
    This page:567
    Full text:216
    References:35
    First page:14

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