In mathematics, a Lagrangian system is a pair (Y, L), consisting of a smooth fiber bundle Y → X and a Lagrangian density L, which yields the Euler–Lagrange differential operator acting on sections of Y → X. In classical mechanics, many dynamical systems are Lagrangian systems. The configuration space of such a Lagrangian system is a fiber bundle Q → R {\displaystyle Q\rightarrow \mathbb {R} } over the time axis R {\displaystyle \mathbb {R} } .
In mathematics, a Lagrangian system is a pair (Y, L), consisting of a smooth fiber bundle Y → X and a Lagrangian density L, which yields the Euler–Lagrange differential operator acting on sections of Y → X. In classical mechanics, many dynamical systems are Lagrangian systems. The configuration space of such a Lagrangian system is a fiber bundle Q → R {\displaystyle Q\rightarrow \mathbb {R} } over the time axis R {\displaystyle \mathbb {R} } .
Source: Wikipedia "Lagrangian system" · CC BY-SA 4.0
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