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Some Lagrangians for systems without a Lagrangian
Physica Scripta, 2011We demonstrate how to construct many different Lagrangians for two famous examples that were deemed by Douglas (1941 Trans. Am. Math. Soc. 50 71–128) not to have a Lagrangian. Following Bateman's dictum (1931 Phys. Rev. 38 815–9), we determine different sets of equations that are compatible with those of Douglas and derivable from a variational ...
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