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

Vladimir Gerdt·Arsen Khvedelidze·Dimitar Mladenov
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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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Vladimir Gerdt, Arsen Khvedelidze, Dimitar Mladenov. 2003-11-19. On application of involutivity analysis of differential equations to constrained dynamical systems. https://arxiv.org/abs/hep-th/0311174

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