A pedagogical exposition of the Hamilton-Ostrogradski formalism applied to the Pais-Uhlenbeck model and coupled oscillators for advanced classical mechanics courses.
Despite the formal equivalence of the Lagrangians, it is crucial to draw attention to some nuances related to the order elevation method
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Introduction to Higher Order Classical Dynamics: Pais-Uhlenbeck Model and Coupled Oscillators
A pedagogical exposition of the Hamilton-Ostrogradski formalism applied to the Pais-Uhlenbeck model and coupled oscillators for advanced classical mechanics courses.