A geometric analysis of dynamical systems with singular Lagrangians

Monika Havelková

Communications in Mathematics (2011)

  • Volume: 19, Issue: 2, page 169-178
  • ISSN: 1804-1388

Abstract

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We study dynamics of singular Lagrangian systems described by implicit differential equations from a geometric point of view using the exterior differential systems approach. We analyze a concrete Lagrangian previously studied by other authors by methods of Dirac’s constraint theory, and find its complete dynamics.

How to cite

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Havelková, Monika. "A geometric analysis of dynamical systems with singular Lagrangians." Communications in Mathematics 19.2 (2011): 169-178. <http://eudml.org/doc/247025>.

@article{Havelková2011,
abstract = {We study dynamics of singular Lagrangian systems described by implicit differential equations from a geometric point of view using the exterior differential systems approach. We analyze a concrete Lagrangian previously studied by other authors by methods of Dirac’s constraint theory, and find its complete dynamics.},
author = {Havelková, Monika},
journal = {Communications in Mathematics},
keywords = {singular Lagrangian systems; geometric constraint algorithm; extended dynamics; proper dynamics; final constraint submanifold higher order field theories; singular Lagrangian; Dirac's constraint theory; Hamiltonian external differential systems},
language = {eng},
number = {2},
pages = {169-178},
publisher = {University of Ostrava},
title = {A geometric analysis of dynamical systems with singular Lagrangians},
url = {http://eudml.org/doc/247025},
volume = {19},
year = {2011},
}

TY - JOUR
AU - Havelková, Monika
TI - A geometric analysis of dynamical systems with singular Lagrangians
JO - Communications in Mathematics
PY - 2011
PB - University of Ostrava
VL - 19
IS - 2
SP - 169
EP - 178
AB - We study dynamics of singular Lagrangian systems described by implicit differential equations from a geometric point of view using the exterior differential systems approach. We analyze a concrete Lagrangian previously studied by other authors by methods of Dirac’s constraint theory, and find its complete dynamics.
LA - eng
KW - singular Lagrangian systems; geometric constraint algorithm; extended dynamics; proper dynamics; final constraint submanifold higher order field theories; singular Lagrangian; Dirac's constraint theory; Hamiltonian external differential systems
UR - http://eudml.org/doc/247025
ER -

References

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