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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 153, Number 1, Pages 18–28
DOI: https://doi.org/10.4213/tmf6118 (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
Full-text PDF (357 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6118
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.
Received: 20.11.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 153, Issue 1, Pages 1364–1372
DOI: https://doi.org/10.1007/s11232-007-0120-2
Bibliographic databases:
Document Type: Article
Language: Russian
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
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Linking options:
  • https://www.mathnet.ru/eng/tmf6118
  • https://doi.org/10.4213/tmf6118
  • https://www.mathnet.ru/eng/tmf/v153/i1/p18
    • This publication is cited in the following 2 articles:
    1. 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
    2. 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
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:900
    Full-text PDF :412
    References:79
    First page:14
     
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