Lagrangian mechanics without ordinary differential equations

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Lagrangian mechanics without ordinary differential equations

A variational proof is provided of the existence and uniqueness of evolutions of regular Lagrangian systems. Introduction Let Q be a smooth, finite dimensional manifold and L : TQ → R be a smooth Lagrangian. Evolutions of the Lagrangian system defined by L are by definition the C curves q : [0, h] → R which are critical points of the action Sh = ∫ h 0 L ◦ q(t) dt, subject to the constraint that...

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ژورنال

عنوان ژورنال: Reports on Mathematical Physics

سال: 2006

ISSN: 0034-4877

DOI: 10.1016/s0034-4877(06)80030-3