English

On application of involutivity analysis of differential equations to constrained dynamical systems

High Energy Physics - Theory 2007-05-23 v1 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

A brief sketch of computer methods of involutivity analysis of differential equations is presented in context of its application to study degenerate Lagrangian systems. We exemplify the approach by a detailed consideration of a finite-dimensional model, the so-called light-cone SU(2) Yang-Mills mechanics. All algorithms are realized in computer algebra system Maple.

Keywords

Cite

@article{arxiv.hep-th/0311174,
  title  = {On application of involutivity analysis of differential equations to constrained dynamical systems},
  author = {Vladimir Gerdt and Arsen Khvedelidze and Dimitar Mladenov},
  journal= {arXiv preprint arXiv:hep-th/0311174},
  year   = {2007}
}

Comments

17 pages, LaTeX, no figures. Talk given at the Seminar "Symmetries and Integrable Systems", Dubna, Russia, December 20, 2002