Differential systems in higher-order mechanics1
نویسنده
چکیده
The aim of this paper is to provide a geometric description and classification of general systems of ordinary differential equations of order s ≥ 1 on fibered manifolds, and to investigate geometric properties of solutions of these equations. The present setting covers Lagrangian systems, higher order semisprays, and constrained systems (equations subject to constraints modeled by exterior differential systems). Emphasis is put on singular systems.
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