What Are Some Physically Relevant Higher-Order Lagrangian Systems?

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Omega137
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Hello!

I`m looking for Lagrangian Systems with Lagrangian function containing higher derivatives in t. I would be really happy if someone can tell some higher order Lagrangians with physical relevance.

Thanks, Viktor
 

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Is there about your question that relates specifically to relativity? If not, then you will probably get better answers if we move this question to the Beyond the Standard Model forum.

-Ben