Condensed Matter Physics, 1995, No. 6, p. 79-104, English
<br><A HREF="https://doi.org/10.5488/CMP.6.79"> DOI:10.5488/CMP.6.79</A>


<HR> 
<B> Title: </B> Some remarks on lagrangian and hamiltonian formalisms,
related to infinite-dimensional dynamical systems with symmetries <BR>

<B> Autors: </B> A.Prykarpatsky, R.Samuliak, D.Blackmore, W.Strampp, Yu.Sydorenko <BR>
<p>
<blockquote>
A description of Lagrangian and Hamiltonian formalisms strictly obtained
from the invariance structure of given nonlinear dynamical systems on the
infinite-dimensional functional manifold is presented. The basic ideas used,
in order to formulate the canonical symplectic structure, are borrowed from the Cartan's
theory of differential systems on associated jet-manifolds. The symmetry
structure reduced on the invariant submanifolds of critical points of some nonlocal
Euler-Lagrange functional is described thoroughly for both differential and
differential discrete dynamical systems.
</blockquote>


<HR>
<TABLE width="100%" border="0" cellspacing="0" cellpadding="0">
<tr>
    <TD width="50%"><b>
        [<A HREF="art05.pdf" TARGET="_blank">pdf</A>]
    </b></TD>
    <TD  align="right">
        <a ID="link_back" HREF="../index.html">
        << Contents of <B>No.6</b>
    </A>
    </TD>
</tr>
</TABLE>