On application of involutivity analysis of differential equations to constrained dynamical systems
Vladimir Gerdt, Arsen Khvedelidze, Dimitar Mladenov
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.
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