This article is cited in 2 papers

Dynamical principle

V. P. Pavlov^a, V. M. Sergeev<sup>b

a</sup> 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.

Received: 20.11.2006

DOI: 10.4213/tmf6118

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

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