On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces

Details On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces

2010-03-09

arxiv.org/abs/1003.1840v1

Z. Angew. Math. Mech. 90 (2010), 502-508

Mathematics

Differential Geometry

10 pages, accepted for publ in Z. Angew. Math. Mech.

Scientific paper

10.1002/zamm.200900327

In two recent papers necessary and sufficient conditions for a given system
of second-order ordinary differential equations to be of Lagrangian form with
additional dissipative forces were derived. We point out that these conditions
are not independent and prove a stronger result accordingly.

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